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Simplifying 25 + 9(3k + -5) = 12(3k + -1) + -26 Reorder the terms: 25 + 9(-5 + 3k) = 12(3k + -1) + -26 25 + (-5 * 9 + 3k * 9) = 12(3k + -1) + -26 25 + (-45 + 27k) = 12(3k + -1) + -26 Combine like terms: 25 + -45 = -20 -20 + 27k = 12(3k + -1) + -26 Reorder the terms: -20 + 27k = 12(-1 + 3k) + -26 -20 + 27k = (-1 * 12 + 3k * 12) + -26 -20 + 27k = (-12 + 36k) + -26 Reorder the terms: -20 + 27k = -12 + -26 + 36k Combine like terms: -12 + -26 = -38 -20 + 27k = -38 + 36k Solving -20 + 27k = -38 + 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. -20 + 27k + -36k = -38 + 36k + -36k Combine like terms: 27k + -36k = -9k -20 + -9k = -38 + 36k + -36k Combine like terms: 36k + -36k = 0 -20 + -9k = -38 + 0 -20 + -9k = -38 Add '20' to each side of the equation. -20 + 20 + -9k = -38 + 20 Combine like terms: -20 + 20 = 0 0 + -9k = -38 + 20 -9k = -38 + 20 Combine like terms: -38 + 20 = -18 -9k = -18 Divide each side by '-9'. k = 2 Simplifying k = 2
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