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Solve for \(a\).

[tex]\[
\begin{array}{c}
7 + 3a = 12 + 2a \\
a = [?]
\end{array}
\][/tex]

Sagot :

GinnyAnswer
To solve the equation \( 7 + 3a = 12 + 2a \) for \( a \), follow these steps:

1. Simplify the equation by isolating terms involving \( a \).

Start by subtracting \( 2a \) from both sides to keep the variable \( a \) on one side:
[tex]\[ 7 + 3a - 2a = 12 + 2a - 2a \][/tex]

Simplifying, this becomes:
[tex]\[ 7 + a = 12 \][/tex]

2. Isolate \( a \) by moving the constant term to the other side.

Subtract 7 from both sides of the equation to isolate \( a \):
[tex]\[ 7 + a - 7 = 12 - 7 \][/tex]

Simplifying this, we get:
[tex]\[ a = 5 \][/tex]

Thus, the solution to the equation \( 7 + 3a = 12 + 2a \) is:
[tex]\[ a = 5 \][/tex]
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