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Simplifying 6(5 + -8k) = -2(25k + -4) (5 * 6 + -8k * 6) = -2(25k + -4) (30 + -48k) = -2(25k + -4) Reorder the terms: 30 + -48k = -2(-4 + 25k) 30 + -48k = (-4 * -2 + 25k * -2) 30 + -48k = (8 + -50k) Solving 30 + -48k = 8 + -50k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '50k' to each side of the equation. 30 + -48k + 50k = 8 + -50k + 50k Combine like terms: -48k + 50k = 2k 30 + 2k = 8 + -50k + 50k Combine like terms: -50k + 50k = 0 30 + 2k = 8 + 0 30 + 2k = 8 Add '-30' to each side of the equation. 30 + -30 + 2k = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 2k = 8 + -30 2k = 8 + -30 Combine like terms: 8 + -30 = -22 2k = -22 Divide each side by '2'. k = -11 Simplifying k = -11
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