4(3a-2)=-11(a-6)

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Solution for 4(3a-2)=-11(a-6) equation:


Simplifying
4(3a + -2) = -11(a + -6)

Reorder the terms:
4(-2 + 3a) = -11(a + -6)
(-2 * 4 + 3a * 4) = -11(a + -6)
(-8 + 12a) = -11(a + -6)

Reorder the terms:
-8 + 12a = -11(-6 + a)
-8 + 12a = (-6 * -11 + a * -11)
-8 + 12a = (66 + -11a)

Solving
-8 + 12a = 66 + -11a

Solving for variable 'a'.

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

Add '11a' to each side of the equation.
-8 + 12a + 11a = 66 + -11a + 11a

Combine like terms: 12a + 11a = 23a
-8 + 23a = 66 + -11a + 11a

Combine like terms: -11a + 11a = 0
-8 + 23a = 66 + 0
-8 + 23a = 66

Add '8' to each side of the equation.
-8 + 8 + 23a = 66 + 8

Combine like terms: -8 + 8 = 0
0 + 23a = 66 + 8
23a = 66 + 8

Combine like terms: 66 + 8 = 74
23a = 74

Divide each side by '23'.
a = 3.217391304

Simplifying
a = 3.217391304

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