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Simplifying -2(6 + 6k) = -8(k + -6) (6 * -2 + 6k * -2) = -8(k + -6) (-12 + -12k) = -8(k + -6) Reorder the terms: -12 + -12k = -8(-6 + k) -12 + -12k = (-6 * -8 + k * -8) -12 + -12k = (48 + -8k) Solving -12 + -12k = 48 + -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. -12 + -12k + 8k = 48 + -8k + 8k Combine like terms: -12k + 8k = -4k -12 + -4k = 48 + -8k + 8k Combine like terms: -8k + 8k = 0 -12 + -4k = 48 + 0 -12 + -4k = 48 Add '12' to each side of the equation. -12 + 12 + -4k = 48 + 12 Combine like terms: -12 + 12 = 0 0 + -4k = 48 + 12 -4k = 48 + 12 Combine like terms: 48 + 12 = 60 -4k = 60 Divide each side by '-4'. k = -15 Simplifying k = -15
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