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Simplifying -6(k + 5) = 2(k + -6) + -2 Reorder the terms: -6(5 + k) = 2(k + -6) + -2 (5 * -6 + k * -6) = 2(k + -6) + -2 (-30 + -6k) = 2(k + -6) + -2 Reorder the terms: -30 + -6k = 2(-6 + k) + -2 -30 + -6k = (-6 * 2 + k * 2) + -2 -30 + -6k = (-12 + 2k) + -2 Reorder the terms: -30 + -6k = -12 + -2 + 2k Combine like terms: -12 + -2 = -14 -30 + -6k = -14 + 2k Solving -30 + -6k = -14 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -30 + -6k + -2k = -14 + 2k + -2k Combine like terms: -6k + -2k = -8k -30 + -8k = -14 + 2k + -2k Combine like terms: 2k + -2k = 0 -30 + -8k = -14 + 0 -30 + -8k = -14 Add '30' to each side of the equation. -30 + 30 + -8k = -14 + 30 Combine like terms: -30 + 30 = 0 0 + -8k = -14 + 30 -8k = -14 + 30 Combine like terms: -14 + 30 = 16 -8k = 16 Divide each side by '-8'. k = -2 Simplifying k = -2
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