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Simplifying -5(2k + -6) = 100 Reorder the terms: -5(-6 + 2k) = 100 (-6 * -5 + 2k * -5) = 100 (30 + -10k) = 100 Solving 30 + -10k = 100 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 + -10k = 100 + -30 Combine like terms: 30 + -30 = 0 0 + -10k = 100 + -30 -10k = 100 + -30 Combine like terms: 100 + -30 = 70 -10k = 70 Divide each side by '-10'. k = -7 Simplifying k = -7
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