4(a+2)-9(a-1)=-4(2a+6)-7

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Solution for 4(a+2)-9(a-1)=-4(2a+6)-7 equation: 


Simplifying
4(a + 2) + -9(a + -1) = -4(2a + 6) + -7

Reorder the terms:
4(2 + a) + -9(a + -1) = -4(2a + 6) + -7
(2 * 4 + a * 4) + -9(a + -1) = -4(2a + 6) + -7
(8 + 4a) + -9(a + -1) = -4(2a + 6) + -7

Reorder the terms:
8 + 4a + -9(-1 + a) = -4(2a + 6) + -7
8 + 4a + (-1 * -9 + a * -9) = -4(2a + 6) + -7
8 + 4a + (9 + -9a) = -4(2a + 6) + -7

Reorder the terms:
8 + 9 + 4a + -9a = -4(2a + 6) + -7

Combine like terms: 8 + 9 = 17
17 + 4a + -9a = -4(2a + 6) + -7

Combine like terms: 4a + -9a = -5a
17 + -5a = -4(2a + 6) + -7

Reorder the terms:
17 + -5a = -4(6 + 2a) + -7
17 + -5a = (6 * -4 + 2a * -4) + -7
17 + -5a = (-24 + -8a) + -7

Reorder the terms:
17 + -5a = -24 + -7 + -8a

Combine like terms: -24 + -7 = -31
17 + -5a = -31 + -8a

Solving
17 + -5a = -31 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
17 + -5a + 8a = -31 + -8a + 8a

Combine like terms: -5a + 8a = 3a
17 + 3a = -31 + -8a + 8a

Combine like terms: -8a + 8a = 0
17 + 3a = -31 + 0
17 + 3a = -31

Add '-17' to each side of the equation.
17 + -17 + 3a = -31 + -17

Combine like terms: 17 + -17 = 0
0 + 3a = -31 + -17
3a = -31 + -17

Combine like terms: -31 + -17 = -48
3a = -48

Divide each side by '3'.
a = -16

Simplifying
a = -16

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