-3(4a-3)=4(4-4a)-11

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Solution for -3(4a-3)=4(4-4a)-11 equation: 


Simplifying
-3(4a + -3) = 4(4 + -4a) + -11

Reorder the terms:
-3(-3 + 4a) = 4(4 + -4a) + -11
(-3 * -3 + 4a * -3) = 4(4 + -4a) + -11
(9 + -12a) = 4(4 + -4a) + -11
9 + -12a = (4 * 4 + -4a * 4) + -11
9 + -12a = (16 + -16a) + -11

Reorder the terms:
9 + -12a = 16 + -11 + -16a

Combine like terms: 16 + -11 = 5
9 + -12a = 5 + -16a

Solving
9 + -12a = 5 + -16a

Solving for variable 'a'.

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

Add '16a' to each side of the equation.
9 + -12a + 16a = 5 + -16a + 16a

Combine like terms: -12a + 16a = 4a
9 + 4a = 5 + -16a + 16a

Combine like terms: -16a + 16a = 0
9 + 4a = 5 + 0
9 + 4a = 5

Add '-9' to each side of the equation.
9 + -9 + 4a = 5 + -9

Combine like terms: 9 + -9 = 0
0 + 4a = 5 + -9
4a = 5 + -9

Combine like terms: 5 + -9 = -4
4a = -4

Divide each side by '4'.
a = -1

Simplifying
a = -1

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