2(4k+7)-3(6k-11)=137

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Solution for 2(4k+7)-3(6k-11)=137 equation:


Simplifying
2(4k + 7) + -3(6k + -11) = 137

Reorder the terms:
2(7 + 4k) + -3(6k + -11) = 137
(7 * 2 + 4k * 2) + -3(6k + -11) = 137
(14 + 8k) + -3(6k + -11) = 137

Reorder the terms:
14 + 8k + -3(-11 + 6k) = 137
14 + 8k + (-11 * -3 + 6k * -3) = 137
14 + 8k + (33 + -18k) = 137

Reorder the terms:
14 + 33 + 8k + -18k = 137

Combine like terms: 14 + 33 = 47
47 + 8k + -18k = 137

Combine like terms: 8k + -18k = -10k
47 + -10k = 137

Solving
47 + -10k = 137

Solving for variable 'k'.

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

Add '-47' to each side of the equation.
47 + -47 + -10k = 137 + -47

Combine like terms: 47 + -47 = 0
0 + -10k = 137 + -47
-10k = 137 + -47

Combine like terms: 137 + -47 = 90
-10k = 90

Divide each side by '-10'.
k = -9

Simplifying
k = -9

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