6(8k-8)-40=-4(3k-4)-11

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Solution for 6(8k-8)-40=-4(3k-4)-11 equation:


Simplifying
6(8k + -8) + -40 = -4(3k + -4) + -11

Reorder the terms:
6(-8 + 8k) + -40 = -4(3k + -4) + -11
(-8 * 6 + 8k * 6) + -40 = -4(3k + -4) + -11
(-48 + 48k) + -40 = -4(3k + -4) + -11

Reorder the terms:
-48 + -40 + 48k = -4(3k + -4) + -11

Combine like terms: -48 + -40 = -88
-88 + 48k = -4(3k + -4) + -11

Reorder the terms:
-88 + 48k = -4(-4 + 3k) + -11
-88 + 48k = (-4 * -4 + 3k * -4) + -11
-88 + 48k = (16 + -12k) + -11

Reorder the terms:
-88 + 48k = 16 + -11 + -12k

Combine like terms: 16 + -11 = 5
-88 + 48k = 5 + -12k

Solving
-88 + 48k = 5 + -12k

Solving for variable 'k'.

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

Add '12k' to each side of the equation.
-88 + 48k + 12k = 5 + -12k + 12k

Combine like terms: 48k + 12k = 60k
-88 + 60k = 5 + -12k + 12k

Combine like terms: -12k + 12k = 0
-88 + 60k = 5 + 0
-88 + 60k = 5

Add '88' to each side of the equation.
-88 + 88 + 60k = 5 + 88

Combine like terms: -88 + 88 = 0
0 + 60k = 5 + 88
60k = 5 + 88

Combine like terms: 5 + 88 = 93
60k = 93

Divide each side by '60'.
k = 1.55

Simplifying
k = 1.55

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