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Simplifying -12(k + -6) + -2(5 + 2k) = 7k + 8k Reorder the terms: -12(-6 + k) + -2(5 + 2k) = 7k + 8k (-6 * -12 + k * -12) + -2(5 + 2k) = 7k + 8k (72 + -12k) + -2(5 + 2k) = 7k + 8k 72 + -12k + (5 * -2 + 2k * -2) = 7k + 8k 72 + -12k + (-10 + -4k) = 7k + 8k Reorder the terms: 72 + -10 + -12k + -4k = 7k + 8k Combine like terms: 72 + -10 = 62 62 + -12k + -4k = 7k + 8k Combine like terms: -12k + -4k = -16k 62 + -16k = 7k + 8k Combine like terms: 7k + 8k = 15k 62 + -16k = 15k Solving 62 + -16k = 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 62 + -16k + -15k = 15k + -15k Combine like terms: -16k + -15k = -31k 62 + -31k = 15k + -15k Combine like terms: 15k + -15k = 0 62 + -31k = 0 Add '-62' to each side of the equation. 62 + -62 + -31k = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -31k = 0 + -62 -31k = 0 + -62 Combine like terms: 0 + -62 = -62 -31k = -62 Divide each side by '-31'. k = 2 Simplifying k = 2
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