Solve for b. (3)/(8)b+9=36 Answer: b=

Subtract 9: Subtract 9 from both sides of the equation to isolate the term containing b. We start with the equation (3/8)b + 9 = 36. To isolate the term with b, we need to get rid of the constant term on the same side as b, which is 9. We do this by subtracting 9 from both sides of the equation. (3/8)b + 9 - 9 = 36 - 9 This simplifies to: (3/8)b = 27Multiply by reciprocal: Multiply both sides of the equation by the reciprocal of (3/8) to solve for b. Now we have (3/8)b = 27. To solve for b, we need to get rid of the fraction (3/8) that is multiplied by b. We do this by multiplying both sides of the equation by the reciprocal of (3/8), which is (8/3). (3/8)b * (8/3) = 27 * (8/3) This simplifies to: b = 27 * (8/3)Calculate value: Calculate the value of b. Now we perform the multiplication on the right side of the equation. b = 27 * (8/3) b = (27/1) * (8/3) b = (27 * 8) / 3 b = 216 / 3 b = 72

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Solve for $b$ . $\newline$ $\frac{3}{8} b+9=36$ $\newline$ Answer: $b=$

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Grade 7

Solve two-step equations with parentheses

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Q. Solve for

b

\newline

\frac{3}{8} b+9=36

\newline

Answer:

b=

Subtract $9$ : Subtract $9$ from both sides of the equation to isolate the term containing $b$ . We start with the equation $\frac{3}{8}b + 9 = 36$ . To isolate the term with $b$ , we need to get rid of the constant term on the same side as $b$ , which is $9$ . We do this by subtracting $9$ from both sides of the equation. $\frac{3}{8}b + 9 - 9 = 36 - 9$ This simplifies to: $\frac{3}{8}b = 27$
Multiply by reciprocal: Multiply both sides of the equation by the reciprocal of $(\frac{3}{8})$ to solve for $b$ . Now we have $(\frac{3}{8})b = 27$ . To solve for $b$ , we need to get rid of the fraction $(\frac{3}{8})$ that is multiplied by $b$ . We do this by multiplying both sides of the equation by the reciprocal of $(\frac{3}{8})$ , which is $(\frac{8}{3})$ . $(\frac{3}{8})b \times (\frac{8}{3}) = 27 \times (\frac{8}{3})$ This simplifies to: $b = 27 \times (\frac{8}{3})$
Calculate value: Calculate the value of $b$ . $\newline$ Now we perform the multiplication on the right side of the equation. $\newline$ $b = 27 \times (8/3)$ $\newline$ $b = (27/1) \times (8/3)$ $\newline$ $b = (27 \times 8) / 3$ $\newline$ $b = 216 / 3$ $\newline$ $b = 72$