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Simplifying 135 = 5(6 + -3k) 135 = (6 * 5 + -3k * 5) 135 = (30 + -15k) Solving 135 = 30 + -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. 135 + 15k = 30 + -15k + 15k Combine like terms: -15k + 15k = 0 135 + 15k = 30 + 0 135 + 15k = 30 Add '-135' to each side of the equation. 135 + -135 + 15k = 30 + -135 Combine like terms: 135 + -135 = 0 0 + 15k = 30 + -135 15k = 30 + -135 Combine like terms: 30 + -135 = -105 15k = -105 Divide each side by '15'. k = -7 Simplifying k = -7
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