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Simplifying -1(-10k + -10) = 2(4k + -6) Reorder the terms: -1(-10 + -10k) = 2(4k + -6) (-10 * -1 + -10k * -1) = 2(4k + -6) (10 + 10k) = 2(4k + -6) Reorder the terms: 10 + 10k = 2(-6 + 4k) 10 + 10k = (-6 * 2 + 4k * 2) 10 + 10k = (-12 + 8k) Solving 10 + 10k = -12 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 10 + 10k + -8k = -12 + 8k + -8k Combine like terms: 10k + -8k = 2k 10 + 2k = -12 + 8k + -8k Combine like terms: 8k + -8k = 0 10 + 2k = -12 + 0 10 + 2k = -12 Add '-10' to each side of the equation. 10 + -10 + 2k = -12 + -10 Combine like terms: 10 + -10 = 0 0 + 2k = -12 + -10 2k = -12 + -10 Combine like terms: -12 + -10 = -22 2k = -22 Divide each side by '2'. k = -11 Simplifying k = -11
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