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Simplifying -118 = 5 + 3(5k + -1) Reorder the terms: -118 = 5 + 3(-1 + 5k) -118 = 5 + (-1 * 3 + 5k * 3) -118 = 5 + (-3 + 15k) Combine like terms: 5 + -3 = 2 -118 = 2 + 15k Solving -118 = 2 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -118 + -15k = 2 + 15k + -15k Combine like terms: 15k + -15k = 0 -118 + -15k = 2 + 0 -118 + -15k = 2 Add '118' to each side of the equation. -118 + 118 + -15k = 2 + 118 Combine like terms: -118 + 118 = 0 0 + -15k = 2 + 118 -15k = 2 + 118 Combine like terms: 2 + 118 = 120 -15k = 120 Divide each side by '-15'. k = -8 Simplifying k = -8
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