8a-(15-a)=6(a-7)+15

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Solution for 8a-(15-a)=6(a-7)+15 equation:


Simplifying
8a + -1(15 + -1a) = 6(a + -7) + 15
8a + (15 * -1 + -1a * -1) = 6(a + -7) + 15
8a + (-15 + 1a) = 6(a + -7) + 15

Reorder the terms:
-15 + 8a + 1a = 6(a + -7) + 15

Combine like terms: 8a + 1a = 9a
-15 + 9a = 6(a + -7) + 15

Reorder the terms:
-15 + 9a = 6(-7 + a) + 15
-15 + 9a = (-7 * 6 + a * 6) + 15
-15 + 9a = (-42 + 6a) + 15

Reorder the terms:
-15 + 9a = -42 + 15 + 6a

Combine like terms: -42 + 15 = -27
-15 + 9a = -27 + 6a

Solving
-15 + 9a = -27 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-15 + 9a + -6a = -27 + 6a + -6a

Combine like terms: 9a + -6a = 3a
-15 + 3a = -27 + 6a + -6a

Combine like terms: 6a + -6a = 0
-15 + 3a = -27 + 0
-15 + 3a = -27

Add '15' to each side of the equation.
-15 + 15 + 3a = -27 + 15

Combine like terms: -15 + 15 = 0
0 + 3a = -27 + 15
3a = -27 + 15

Combine like terms: -27 + 15 = -12
3a = -12

Divide each side by '3'.
a = -4

Simplifying
a = -4

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