Solve for b. {:[3-2(b-2)=2-7b],[b=]:}

Simplify equation using distributive property: Simplify the equation 3 - 2(b - 2) by using the distributive property. 3 - 2(b - 2) = 3 - 2b + 4 = 7 - 2bIsolate variable b by moving terms: Now we have the simplified equation 7 - 2b = 2 - 7b. Next, we will isolate the variable b by moving all the b terms to one side and the constants to the other side. Add 2b to both sides: 7 - 2b + 2b = 2 - 7b + 2b 7 = 2 - 5bAdd 5b to both sides: Now, add 5b to both sides to isolate the b term on one side: 7 + 5b = 2 - 5b + 5b 7 + 5b = 2Subtract 2 from both sides: Subtract 2 from both sides to solve for b: 7 + 5b - 2 = 2 - 2 5b + 5 = 0

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Solve for $b$ . $\newline$ $\begin{array}{l} 3-2(b-2)=2-7 b \\ b=\square \end{array}$

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Algebra 1

Solve multi-step linear equations

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Q. Solve for

b

\newline

\begin{array}{l} 3-2(b-2)=2-7 b \\ b=\square \end{array}

Simplify equation using distributive property: Simplify the equation $3 - 2(b - 2)$ by using the distributive property. $\newline$ $3 - 2(b - 2)$ $\newline$ $= 3 - 2b + 4$ $\newline$ $= 7 - 2b$
Isolate variable b by moving terms: Now we have the simplified equation $7 - 2b = 2 - 7b$ . Next, we will isolate the variable b by moving all the b terms to one side and the constants to the other side. $\newline$ Add $2b$ to both sides: $\newline$ $7 - 2b + 2b = 2 - 7b + 2b$ $\newline$ $7 = 2 - 5b$
Add $5b$ to both sides: Now, add $5b$ to both sides to isolate the $b$ term on one side: $\newline$ $7 + 5b = 2 - 5b + 5b$ $\newline$ $7 + 5b = 2$
Subtract $2$ from both sides: Subtract $2$ from both sides to solve for b: $\newline$ $7 + 5b - 2 = 2 - 2$ $\newline$ $5b + 5 = 0$