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Simplifying 6 + -3(k + -6) = 5k + -1(2k + 3) Reorder the terms: 6 + -3(-6 + k) = 5k + -1(2k + 3) 6 + (-6 * -3 + k * -3) = 5k + -1(2k + 3) 6 + (18 + -3k) = 5k + -1(2k + 3) Combine like terms: 6 + 18 = 24 24 + -3k = 5k + -1(2k + 3) Reorder the terms: 24 + -3k = 5k + -1(3 + 2k) 24 + -3k = 5k + (3 * -1 + 2k * -1) 24 + -3k = 5k + (-3 + -2k) Reorder the terms: 24 + -3k = -3 + 5k + -2k Combine like terms: 5k + -2k = 3k 24 + -3k = -3 + 3k Solving 24 + -3k = -3 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 24 + -3k + -3k = -3 + 3k + -3k Combine like terms: -3k + -3k = -6k 24 + -6k = -3 + 3k + -3k Combine like terms: 3k + -3k = 0 24 + -6k = -3 + 0 24 + -6k = -3 Add '-24' to each side of the equation. 24 + -24 + -6k = -3 + -24 Combine like terms: 24 + -24 = 0 0 + -6k = -3 + -24 -6k = -3 + -24 Combine like terms: -3 + -24 = -27 -6k = -27 Divide each side by '-6'. k = 4.5 Simplifying k = 4.5
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