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Simplifying 9(3m + -5) = 12(3m + -1) + -51 Reorder the terms: 9(-5 + 3m) = 12(3m + -1) + -51 (-5 * 9 + 3m * 9) = 12(3m + -1) + -51 (-45 + 27m) = 12(3m + -1) + -51 Reorder the terms: -45 + 27m = 12(-1 + 3m) + -51 -45 + 27m = (-1 * 12 + 3m * 12) + -51 -45 + 27m = (-12 + 36m) + -51 Reorder the terms: -45 + 27m = -12 + -51 + 36m Combine like terms: -12 + -51 = -63 -45 + 27m = -63 + 36m Solving -45 + 27m = -63 + 36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36m' to each side of the equation. -45 + 27m + -36m = -63 + 36m + -36m Combine like terms: 27m + -36m = -9m -45 + -9m = -63 + 36m + -36m Combine like terms: 36m + -36m = 0 -45 + -9m = -63 + 0 -45 + -9m = -63 Add '45' to each side of the equation. -45 + 45 + -9m = -63 + 45 Combine like terms: -45 + 45 = 0 0 + -9m = -63 + 45 -9m = -63 + 45 Combine like terms: -63 + 45 = -18 -9m = -18 Divide each side by '-9'. m = 2 Simplifying m = 2
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