-4(-3(k)-12)=-9(5(k)-11)+6

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Solution for -4(-3(k)-12)=-9(5(k)-11)+6 equation: 


Simplifying
-4(-3(k) + -12) = -9(5(k) + -11) + 6

Reorder the terms:
-4(-12 + -3k) = -9(5(k) + -11) + 6
(-12 * -4 + -3k * -4) = -9(5(k) + -11) + 6
(48 + 12k) = -9(5(k) + -11) + 6

Reorder the terms:
48 + 12k = -9(-11 + 5k) + 6
48 + 12k = (-11 * -9 + 5k * -9) + 6
48 + 12k = (99 + -45k) + 6

Reorder the terms:
48 + 12k = 99 + 6 + -45k

Combine like terms: 99 + 6 = 105
48 + 12k = 105 + -45k

Solving
48 + 12k = 105 + -45k

Solving for variable 'k'.

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

Add '45k' to each side of the equation.
48 + 12k + 45k = 105 + -45k + 45k

Combine like terms: 12k + 45k = 57k
48 + 57k = 105 + -45k + 45k

Combine like terms: -45k + 45k = 0
48 + 57k = 105 + 0
48 + 57k = 105

Add '-48' to each side of the equation.
48 + -48 + 57k = 105 + -48

Combine like terms: 48 + -48 = 0
0 + 57k = 105 + -48
57k = 105 + -48

Combine like terms: 105 + -48 = 57
57k = 57

Divide each side by '57'.
k = 1

Simplifying
k = 1

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