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Simplifying -15 = -5(1 + k) -15 = (1 * -5 + k * -5) -15 = (-5 + -5k) Solving -15 = -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. -15 + 5k = -5 + -5k + 5k Combine like terms: -5k + 5k = 0 -15 + 5k = -5 + 0 -15 + 5k = -5 Add '15' to each side of the equation. -15 + 15 + 5k = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 5k = -5 + 15 5k = -5 + 15 Combine like terms: -5 + 15 = 10 5k = 10 Divide each side by '5'. k = 2 Simplifying k = 2
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