15a-12-a=(5a+6)2

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Solution for 15a-12-a=(5a+6)2 equation:


Simplifying
15a + -12 + -1a = (5a + 6) * 2

Reorder the terms:
-12 + 15a + -1a = (5a + 6) * 2

Combine like terms: 15a + -1a = 14a
-12 + 14a = (5a + 6) * 2

Reorder the terms:
-12 + 14a = (6 + 5a) * 2

Reorder the terms for easier multiplication:
-12 + 14a = 2(6 + 5a)
-12 + 14a = (6 * 2 + 5a * 2)
-12 + 14a = (12 + 10a)

Solving
-12 + 14a = 12 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
-12 + 14a + -10a = 12 + 10a + -10a

Combine like terms: 14a + -10a = 4a
-12 + 4a = 12 + 10a + -10a

Combine like terms: 10a + -10a = 0
-12 + 4a = 12 + 0
-12 + 4a = 12

Add '12' to each side of the equation.
-12 + 12 + 4a = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 4a = 12 + 12
4a = 12 + 12

Combine like terms: 12 + 12 = 24
4a = 24

Divide each side by '4'.
a = 6

Simplifying
a = 6

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