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Simplifying -28.5 = 4 + 5(k + 3.5) Reorder the terms: -28.5 = 4 + 5(3.5 + k) -28.5 = 4 + (3.5 * 5 + k * 5) -28.5 = 4 + (17.5 + 5k) Combine like terms: 4 + 17.5 = 21.5 -28.5 = 21.5 + 5k Solving -28.5 = 21.5 + 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. -28.5 + -5k = 21.5 + 5k + -5k Combine like terms: 5k + -5k = 0 -28.5 + -5k = 21.5 + 0 -28.5 + -5k = 21.5 Add '28.5' to each side of the equation. -28.5 + 28.5 + -5k = 21.5 + 28.5 Combine like terms: -28.5 + 28.5 = 0.0 0.0 + -5k = 21.5 + 28.5 -5k = 21.5 + 28.5 Combine like terms: 21.5 + 28.5 = 50 -5k = 50 Divide each side by '-5'. k = -10 Simplifying k = -10
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