-9k-5k=-12(2k-9)-2(10-9k)

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Solution for -9k-5k=-12(2k-9)-2(10-9k) equation:


Simplifying
-9k + -5k = -12(2k + -9) + -2(10 + -9k)

Combine like terms: -9k + -5k = -14k
-14k = -12(2k + -9) + -2(10 + -9k)

Reorder the terms:
-14k = -12(-9 + 2k) + -2(10 + -9k)
-14k = (-9 * -12 + 2k * -12) + -2(10 + -9k)
-14k = (108 + -24k) + -2(10 + -9k)
-14k = 108 + -24k + (10 * -2 + -9k * -2)
-14k = 108 + -24k + (-20 + 18k)

Reorder the terms:
-14k = 108 + -20 + -24k + 18k

Combine like terms: 108 + -20 = 88
-14k = 88 + -24k + 18k

Combine like terms: -24k + 18k = -6k
-14k = 88 + -6k

Solving
-14k = 88 + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
-14k + 6k = 88 + -6k + 6k

Combine like terms: -14k + 6k = -8k
-8k = 88 + -6k + 6k

Combine like terms: -6k + 6k = 0
-8k = 88 + 0
-8k = 88

Divide each side by '-8'.
k = -11

Simplifying
k = -11

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