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