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Simplifying 3m + -27 = -8(-5 + 8m) Reorder the terms: -27 + 3m = -8(-5 + 8m) -27 + 3m = (-5 * -8 + 8m * -8) -27 + 3m = (40 + -64m) Solving -27 + 3m = 40 + -64m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '64m' to each side of the equation. -27 + 3m + 64m = 40 + -64m + 64m Combine like terms: 3m + 64m = 67m -27 + 67m = 40 + -64m + 64m Combine like terms: -64m + 64m = 0 -27 + 67m = 40 + 0 -27 + 67m = 40 Add '27' to each side of the equation. -27 + 27 + 67m = 40 + 27 Combine like terms: -27 + 27 = 0 0 + 67m = 40 + 27 67m = 40 + 27 Combine like terms: 40 + 27 = 67 67m = 67 Divide each side by '67'. m = 1 Simplifying m = 1
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