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