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Simplifying 118 = 7 + 3(5k + 2) Reorder the terms: 118 = 7 + 3(2 + 5k) 118 = 7 + (2 * 3 + 5k * 3) 118 = 7 + (6 + 15k) Combine like terms: 7 + 6 = 13 118 = 13 + 15k Solving 118 = 13 + 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 = 13 + 15k + -15k Combine like terms: 15k + -15k = 0 118 + -15k = 13 + 0 118 + -15k = 13 Add '-118' to each side of the equation. 118 + -118 + -15k = 13 + -118 Combine like terms: 118 + -118 = 0 0 + -15k = 13 + -118 -15k = 13 + -118 Combine like terms: 13 + -118 = -105 -15k = -105 Divide each side by '-15'. k = 7 Simplifying k = 7
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