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Simplifying 5(k + -6) = -5(5 + -2k) Reorder the terms: 5(-6 + k) = -5(5 + -2k) (-6 * 5 + k * 5) = -5(5 + -2k) (-30 + 5k) = -5(5 + -2k) -30 + 5k = (5 * -5 + -2k * -5) -30 + 5k = (-25 + 10k) Solving -30 + 5k = -25 + 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. -30 + 5k + -10k = -25 + 10k + -10k Combine like terms: 5k + -10k = -5k -30 + -5k = -25 + 10k + -10k Combine like terms: 10k + -10k = 0 -30 + -5k = -25 + 0 -30 + -5k = -25 Add '30' to each side of the equation. -30 + 30 + -5k = -25 + 30 Combine like terms: -30 + 30 = 0 0 + -5k = -25 + 30 -5k = -25 + 30 Combine like terms: -25 + 30 = 5 -5k = 5 Divide each side by '-5'. k = -1 Simplifying k = -1
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