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Simplifying 119 = -3(1 + 5k) + 2 119 = (1 * -3 + 5k * -3) + 2 119 = (-3 + -15k) + 2 Reorder the terms: 119 = -3 + 2 + -15k Combine like terms: -3 + 2 = -1 119 = -1 + -15k Solving 119 = -1 + -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. 119 + 15k = -1 + -15k + 15k Combine like terms: -15k + 15k = 0 119 + 15k = -1 + 0 119 + 15k = -1 Add '-119' to each side of the equation. 119 + -119 + 15k = -1 + -119 Combine like terms: 119 + -119 = 0 0 + 15k = -1 + -119 15k = -1 + -119 Combine like terms: -1 + -119 = -120 15k = -120 Divide each side by '15'. k = -8 Simplifying k = -8
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