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Simplifying 9(3k + -5) = 12(3k + -1) + -3 Reorder the terms: 9(-5 + 3k) = 12(3k + -1) + -3 (-5 * 9 + 3k * 9) = 12(3k + -1) + -3 (-45 + 27k) = 12(3k + -1) + -3 Reorder the terms: -45 + 27k = 12(-1 + 3k) + -3 -45 + 27k = (-1 * 12 + 3k * 12) + -3 -45 + 27k = (-12 + 36k) + -3 Reorder the terms: -45 + 27k = -12 + -3 + 36k Combine like terms: -12 + -3 = -15 -45 + 27k = -15 + 36k Solving -45 + 27k = -15 + 36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36k' to each side of the equation. -45 + 27k + -36k = -15 + 36k + -36k Combine like terms: 27k + -36k = -9k -45 + -9k = -15 + 36k + -36k Combine like terms: 36k + -36k = 0 -45 + -9k = -15 + 0 -45 + -9k = -15 Add '45' to each side of the equation. -45 + 45 + -9k = -15 + 45 Combine like terms: -45 + 45 = 0 0 + -9k = -15 + 45 -9k = -15 + 45 Combine like terms: -15 + 45 = 30 -9k = 30 Divide each side by '-9'. k = -3.333333333 Simplifying k = -3.333333333
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