-10(x+12)-11(a-1)=-9a+11-3-11a

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Solution for -10(x+12)-11(a-1)=-9a+11-3-11a equation:


Simplifying
-10(x + 12) + -11(a + -1) = -9a + 11 + -3 + -11a

Reorder the terms:
-10(12 + x) + -11(a + -1) = -9a + 11 + -3 + -11a
(12 * -10 + x * -10) + -11(a + -1) = -9a + 11 + -3 + -11a
(-120 + -10x) + -11(a + -1) = -9a + 11 + -3 + -11a

Reorder the terms:
-120 + -10x + -11(-1 + a) = -9a + 11 + -3 + -11a
-120 + -10x + (-1 * -11 + a * -11) = -9a + 11 + -3 + -11a
-120 + -10x + (11 + -11a) = -9a + 11 + -3 + -11a

Reorder the terms:
-120 + 11 + -11a + -10x = -9a + 11 + -3 + -11a

Combine like terms: -120 + 11 = -109
-109 + -11a + -10x = -9a + 11 + -3 + -11a

Reorder the terms:
-109 + -11a + -10x = 11 + -3 + -9a + -11a

Combine like terms: 11 + -3 = 8
-109 + -11a + -10x = 8 + -9a + -11a

Combine like terms: -9a + -11a = -20a
-109 + -11a + -10x = 8 + -20a

Solving
-109 + -11a + -10x = 8 + -20a

Solving for variable 'a'.

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

Add '20a' to each side of the equation.
-109 + -11a + 20a + -10x = 8 + -20a + 20a

Combine like terms: -11a + 20a = 9a
-109 + 9a + -10x = 8 + -20a + 20a

Combine like terms: -20a + 20a = 0
-109 + 9a + -10x = 8 + 0
-109 + 9a + -10x = 8

Add '109' to each side of the equation.
-109 + 9a + 109 + -10x = 8 + 109

Reorder the terms:
-109 + 109 + 9a + -10x = 8 + 109

Combine like terms: -109 + 109 = 0
0 + 9a + -10x = 8 + 109
9a + -10x = 8 + 109

Combine like terms: 8 + 109 = 117
9a + -10x = 117

Add '10x' to each side of the equation.
9a + -10x + 10x = 117 + 10x

Combine like terms: -10x + 10x = 0
9a + 0 = 117 + 10x
9a = 117 + 10x

Divide each side by '9'.
a = 13 + 1.111111111x

Simplifying
a = 13 + 1.111111111x

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