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Simplifying -5k + 5(k + 1) = 5(k + 6) Reorder the terms: -5k + 5(1 + k) = 5(k + 6) -5k + (1 * 5 + k * 5) = 5(k + 6) -5k + (5 + 5k) = 5(k + 6) Reorder the terms: 5 + -5k + 5k = 5(k + 6) Combine like terms: -5k + 5k = 0 5 + 0 = 5(k + 6) 5 = 5(k + 6) Reorder the terms: 5 = 5(6 + k) 5 = (6 * 5 + k * 5) 5 = (30 + 5k) Solving 5 = 30 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 5 + -5k = 30 + 5k + -5k Combine like terms: 5k + -5k = 0 5 + -5k = 30 + 0 5 + -5k = 30 Add '-5' to each side of the equation. 5 + -5 + -5k = 30 + -5 Combine like terms: 5 + -5 = 0 0 + -5k = 30 + -5 -5k = 30 + -5 Combine like terms: 30 + -5 = 25 -5k = 25 Divide each side by '-5'. k = -5 Simplifying k = -5
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