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Simplifying 3(-4k + -6) = -102 Reorder the terms: 3(-6 + -4k) = -102 (-6 * 3 + -4k * 3) = -102 (-18 + -12k) = -102 Solving -18 + -12k = -102 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -12k = -102 + 18 Combine like terms: -18 + 18 = 0 0 + -12k = -102 + 18 -12k = -102 + 18 Combine like terms: -102 + 18 = -84 -12k = -84 Divide each side by '-12'. k = 7 Simplifying k = 7
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