5=3(a+7)-2a

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Solution for 5=3(a+7)-2a equation:


Simplifying
5 = 3(a + 7) + -2a

Reorder the terms:
5 = 3(7 + a) + -2a
5 = (7 * 3 + a * 3) + -2a
5 = (21 + 3a) + -2a

Combine like terms: 3a + -2a = 1a
5 = 21 + 1a

Solving
5 = 21 + 1a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
5 + -1a = 21 + 1a + -1a

Combine like terms: 1a + -1a = 0
5 + -1a = 21 + 0
5 + -1a = 21

Add '-5' to each side of the equation.
5 + -5 + -1a = 21 + -5

Combine like terms: 5 + -5 = 0
0 + -1a = 21 + -5
-1a = 21 + -5

Combine like terms: 21 + -5 = 16
-1a = 16

Divide each side by '-1'.
a = -16

Simplifying
a = -16

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