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Simplifying 75 = 3(45 + -6 + -5k + -6) Reorder the terms: 75 = 3(45 + -6 + -6 + -5k) Combine like terms: 45 + -6 = 39 75 = 3(39 + -6 + -5k) Combine like terms: 39 + -6 = 33 75 = 3(33 + -5k) 75 = (33 * 3 + -5k * 3) 75 = (99 + -15k) Solving 75 = 99 + -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. 75 + 15k = 99 + -15k + 15k Combine like terms: -15k + 15k = 0 75 + 15k = 99 + 0 75 + 15k = 99 Add '-75' to each side of the equation. 75 + -75 + 15k = 99 + -75 Combine like terms: 75 + -75 = 0 0 + 15k = 99 + -75 15k = 99 + -75 Combine like terms: 99 + -75 = 24 15k = 24 Divide each side by '15'. k = 1.6 Simplifying k = 1.6
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