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Simplifying -5k + -5(3k + -6) = 130 Reorder the terms: -5k + -5(-6 + 3k) = 130 -5k + (-6 * -5 + 3k * -5) = 130 -5k + (30 + -15k) = 130 Reorder the terms: 30 + -5k + -15k = 130 Combine like terms: -5k + -15k = -20k 30 + -20k = 130 Solving 30 + -20k = 130 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 + -20k = 130 + -30 Combine like terms: 30 + -30 = 0 0 + -20k = 130 + -30 -20k = 130 + -30 Combine like terms: 130 + -30 = 100 -20k = 100 Divide each side by '-20'. k = -5 Simplifying k = -5
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