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Simplifying 15 + 5k = -5(-4 + -2k) 15 + 5k = (-4 * -5 + -2k * -5) 15 + 5k = (20 + 10k) Solving 15 + 5k = 20 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 15 + 5k + -10k = 20 + 10k + -10k Combine like terms: 5k + -10k = -5k 15 + -5k = 20 + 10k + -10k Combine like terms: 10k + -10k = 0 15 + -5k = 20 + 0 15 + -5k = 20 Add '-15' to each side of the equation. 15 + -15 + -5k = 20 + -15 Combine like terms: 15 + -15 = 0 0 + -5k = 20 + -15 -5k = 20 + -15 Combine like terms: 20 + -15 = 5 -5k = 5 Divide each side by '-5'. k = -1 Simplifying k = -1
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