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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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