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

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


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

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

Reorder the terms:
-120 + -10a + -11(-12 + a) = -9a + 11 + -3 + -3 + -11a
-120 + -10a + (-12 * -11 + a * -11) = -9a + 11 + -3 + -3 + -11a
-120 + -10a + (132 + -11a) = -9a + 11 + -3 + -3 + -11a

Reorder the terms:
-120 + 132 + -10a + -11a = -9a + 11 + -3 + -3 + -11a

Combine like terms: -120 + 132 = 12
12 + -10a + -11a = -9a + 11 + -3 + -3 + -11a

Combine like terms: -10a + -11a = -21a
12 + -21a = -9a + 11 + -3 + -3 + -11a

Reorder the terms:
12 + -21a = 11 + -3 + -3 + -9a + -11a

Combine like terms: 11 + -3 = 8
12 + -21a = 8 + -3 + -9a + -11a

Combine like terms: 8 + -3 = 5
12 + -21a = 5 + -9a + -11a

Combine like terms: -9a + -11a = -20a
12 + -21a = 5 + -20a

Solving
12 + -21a = 5 + -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.
12 + -21a + 20a = 5 + -20a + 20a

Combine like terms: -21a + 20a = -1a
12 + -1a = 5 + -20a + 20a

Combine like terms: -20a + 20a = 0
12 + -1a = 5 + 0
12 + -1a = 5

Add '-12' to each side of the equation.
12 + -12 + -1a = 5 + -12

Combine like terms: 12 + -12 = 0
0 + -1a = 5 + -12
-1a = 5 + -12

Combine like terms: 5 + -12 = -7
-1a = -7

Divide each side by '-1'.
a = 7

Simplifying
a = 7

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