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Simplifying 3(8m + -9) = 7(2m + -1) Reorder the terms: 3(-9 + 8m) = 7(2m + -1) (-9 * 3 + 8m * 3) = 7(2m + -1) (-27 + 24m) = 7(2m + -1) Reorder the terms: -27 + 24m = 7(-1 + 2m) -27 + 24m = (-1 * 7 + 2m * 7) -27 + 24m = (-7 + 14m) Solving -27 + 24m = -7 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. -27 + 24m + -14m = -7 + 14m + -14m Combine like terms: 24m + -14m = 10m -27 + 10m = -7 + 14m + -14m Combine like terms: 14m + -14m = 0 -27 + 10m = -7 + 0 -27 + 10m = -7 Add '27' to each side of the equation. -27 + 27 + 10m = -7 + 27 Combine like terms: -27 + 27 = 0 0 + 10m = -7 + 27 10m = -7 + 27 Combine like terms: -7 + 27 = 20 10m = 20 Divide each side by '10'. m = 2 Simplifying m = 2
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