-5a+15+7a=3a-6a

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Solution for -5a+15+7a=3a-6a equation:


Simplifying
-5a + 15 + 7a = 3a + -6a

Reorder the terms:
15 + -5a + 7a = 3a + -6a

Combine like terms: -5a + 7a = 2a
15 + 2a = 3a + -6a

Combine like terms: 3a + -6a = -3a
15 + 2a = -3a

Solving
15 + 2a = -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
15 + 2a + 3a = -3a + 3a

Combine like terms: 2a + 3a = 5a
15 + 5a = -3a + 3a

Combine like terms: -3a + 3a = 0
15 + 5a = 0

Add '-15' to each side of the equation.
15 + -15 + 5a = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 5a = 0 + -15
5a = 0 + -15

Combine like terms: 0 + -15 = -15
5a = -15

Divide each side by '5'.
a = -3

Simplifying
a = -3

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