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Simplifying 15 + -8k = 7(6k + -5) Reorder the terms: 15 + -8k = 7(-5 + 6k) 15 + -8k = (-5 * 7 + 6k * 7) 15 + -8k = (-35 + 42k) Solving 15 + -8k = -35 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. 15 + -8k + -42k = -35 + 42k + -42k Combine like terms: -8k + -42k = -50k 15 + -50k = -35 + 42k + -42k Combine like terms: 42k + -42k = 0 15 + -50k = -35 + 0 15 + -50k = -35 Add '-15' to each side of the equation. 15 + -15 + -50k = -35 + -15 Combine like terms: 15 + -15 = 0 0 + -50k = -35 + -15 -50k = -35 + -15 Combine like terms: -35 + -15 = -50 -50k = -50 Divide each side by '-50'. k = 1 Simplifying k = 1
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