4(k-8)+3(4-6k)=-76

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Solution for 4(k-8)+3(4-6k)=-76 equation: 


Simplifying
4(k + -8) + 3(4 + -6k) = -76

Reorder the terms:
4(-8 + k) + 3(4 + -6k) = -76
(-8 * 4 + k * 4) + 3(4 + -6k) = -76
(-32 + 4k) + 3(4 + -6k) = -76
-32 + 4k + (4 * 3 + -6k * 3) = -76
-32 + 4k + (12 + -18k) = -76

Reorder the terms:
-32 + 12 + 4k + -18k = -76

Combine like terms: -32 + 12 = -20
-20 + 4k + -18k = -76

Combine like terms: 4k + -18k = -14k
-20 + -14k = -76

Solving
-20 + -14k = -76

Solving for variable 'k'.

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

Add '20' to each side of the equation.
-20 + 20 + -14k = -76 + 20

Combine like terms: -20 + 20 = 0
0 + -14k = -76 + 20
-14k = -76 + 20

Combine like terms: -76 + 20 = -56
-14k = -56

Divide each side by '-14'.
k = 4

Simplifying
k = 4

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