7a+2(a-4)=13

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Solution for 7a+2(a-4)=13 equation:


Simplifying
7a + 2(a + -4) = 13

Reorder the terms:
7a + 2(-4 + a) = 13
7a + (-4 * 2 + a * 2) = 13
7a + (-8 + 2a) = 13

Reorder the terms:
-8 + 7a + 2a = 13

Combine like terms: 7a + 2a = 9a
-8 + 9a = 13

Solving
-8 + 9a = 13

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + 9a = 13 + 8

Combine like terms: -8 + 8 = 0
0 + 9a = 13 + 8
9a = 13 + 8

Combine like terms: 13 + 8 = 21
9a = 21

Divide each side by '9'.
a = 2.333333333

Simplifying
a = 2.333333333

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