Solve for b. Give an exact answer. {:[0.75(8b+4)-1=4b+14],[b=◻]:}

Simplify Equation: Simplify the first equation in the system. We have the equation 0.75(8b+4)-1=4b+14. Let's distribute the 0.75 to both terms inside the parentheses and then subtract 1. 0.75 * 8b + 0.75 * 4 - 1 = 4b + 14 6b + 3 - 1 = 4b + 14 6b + 2 = 4b + 14Isolate Variable: Isolate the variable b on one side of the equation. To do this, we will subtract 4b from both sides of the equation to get the b terms on one side. 6b + 2 - 4b = 4b + 14 - 4b 2b + 2 = 14Subtract to Solve: Subtract 2 from both sides to solve for b. 2b + 2 - 2 = 14 - 2 2b = 12Divide to Find Value: Divide both sides by 2 to find the value of b. 2b / 2 = 12 / 2 b = 6

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Solve for
b.
Give an exact answer.

{:[0.75(8b+4)-1=4b+14],[b=◻]:}

Solve for $b$ . $\newline$ Give an exact answer. $\newline$ $\begin{array}{l} 0.75(8 b+4)-1=4 b+14 \\ b=\square \end{array}$

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Math Problems

Algebra 1

Solve multi-step linear equations

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Q. Solve for

b

\newline

Give an exact answer.

\newline

\begin{array}{l} 0.75(8 b+4)-1=4 b+14 \\ b=\square \end{array}

Simplify Equation: Simplify the first equation in the system. $\newline$ We have the equation $0.75(8b+4)-1=4b+14$ . Let's distribute the $0.75$ to both terms inside the parentheses and then subtract $1$ . $\newline$ $0.75 \times 8b + 0.75 \times 4 - 1 = 4b + 14$ $\newline$ $6b + 3 - 1 = 4b + 14$ $\newline$ $6b + 2 = 4b + 14$
Isolate Variable: Isolate the variable $b$ on one side of the equation. $\newline$ To do this, we will subtract $4b$ from both sides of the equation to get the $b$ terms on one side. $\newline$ $6b + 2 - 4b = 4b + 14 - 4b$ $\newline$ $2b + 2 = 14$
Subtract to Solve: Subtract $2$ from both sides to solve for $b$ . $\newline$ $2b + 2 - 2 = 14 - 2$ $\newline$ $2b = 12$
Divide to Find Value: Divide both sides by $2$ to find the value of $b$ . $\frac{2b}{2} = \frac{12}{2}$ $b = 6$