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Simplifying 5(-3k + -6) = -3(4 + k) + 6k Reorder the terms: 5(-6 + -3k) = -3(4 + k) + 6k (-6 * 5 + -3k * 5) = -3(4 + k) + 6k (-30 + -15k) = -3(4 + k) + 6k -30 + -15k = (4 * -3 + k * -3) + 6k -30 + -15k = (-12 + -3k) + 6k Combine like terms: -3k + 6k = 3k -30 + -15k = -12 + 3k Solving -30 + -15k = -12 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -30 + -15k + -3k = -12 + 3k + -3k Combine like terms: -15k + -3k = -18k -30 + -18k = -12 + 3k + -3k Combine like terms: 3k + -3k = 0 -30 + -18k = -12 + 0 -30 + -18k = -12 Add '30' to each side of the equation. -30 + 30 + -18k = -12 + 30 Combine like terms: -30 + 30 = 0 0 + -18k = -12 + 30 -18k = -12 + 30 Combine like terms: -12 + 30 = 18 -18k = 18 Divide each side by '-18'. k = -1 Simplifying k = -1
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