Answer :

GinnyAnswer
To rearrange the given equation [tex]\(a - 7 = 3(b + 2)\)[/tex] to express [tex]\(a\)[/tex] in terms of [tex]\(b\)[/tex], follow these steps:

1. Start with the given equation:
[tex]\[ a - 7 = 3(b + 2) \][/tex]

2. Distribute the 3 on the right-hand side of the equation:
[tex]\[ a - 7 = 3b + 6 \][/tex]

3. To isolate [tex]\(a\)[/tex], add 7 to both sides of the equation:
[tex]\[ a - 7 + 7 = 3b + 6 + 7 \][/tex]

4. Simplify the expression on the right-hand side:
[tex]\[ a = 3b + 13 \][/tex]

Thus, the rearranged equation with [tex]\(a\)[/tex] expressed in terms of [tex]\(b\)[/tex] is:
[tex]\[ a = 3b + 13 \][/tex]
chibabykalu16

Answer:

a = 3b + 13

Step-by-step explanation:

Given:

  • [tex]a - 7 = 3(b + 2)[/tex]

To make b an independent variable we can expand the bracket and add 7 to both sides

a - 7 = 3(b + 2)

a - 7 = 3b + 6

a = 3b + 6 + 7

a = 3b + 13

Therefore, the expression simplifies to: a = 3b + 13

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