-2(8k-7)+6(5k-4)=-52

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Solution for -2(8k-7)+6(5k-4)=-52 equation:


Simplifying
-2(8k + -7) + 6(5k + -4) = -52

Reorder the terms:
-2(-7 + 8k) + 6(5k + -4) = -52
(-7 * -2 + 8k * -2) + 6(5k + -4) = -52
(14 + -16k) + 6(5k + -4) = -52

Reorder the terms:
14 + -16k + 6(-4 + 5k) = -52
14 + -16k + (-4 * 6 + 5k * 6) = -52
14 + -16k + (-24 + 30k) = -52

Reorder the terms:
14 + -24 + -16k + 30k = -52

Combine like terms: 14 + -24 = -10
-10 + -16k + 30k = -52

Combine like terms: -16k + 30k = 14k
-10 + 14k = -52

Solving
-10 + 14k = -52

Solving for variable 'k'.

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

Add '10' to each side of the equation.
-10 + 10 + 14k = -52 + 10

Combine like terms: -10 + 10 = 0
0 + 14k = -52 + 10
14k = -52 + 10

Combine like terms: -52 + 10 = -42
14k = -42

Divide each side by '14'.
k = -3

Simplifying
k = -3

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