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Simplifying -20 = 5(k + 6) Reorder the terms: -20 = 5(6 + k) -20 = (6 * 5 + k * 5) -20 = (30 + 5k) Solving -20 = 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. -20 + -5k = 30 + 5k + -5k Combine like terms: 5k + -5k = 0 -20 + -5k = 30 + 0 -20 + -5k = 30 Add '20' to each side of the equation. -20 + 20 + -5k = 30 + 20 Combine like terms: -20 + 20 = 0 0 + -5k = 30 + 20 -5k = 30 + 20 Combine like terms: 30 + 20 = 50 -5k = 50 Divide each side by '-5'. k = -10 Simplifying k = -10
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