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Simplifying 6(5m + -5) = -31(3 + -1m) Reorder the terms: 6(-5 + 5m) = -31(3 + -1m) (-5 * 6 + 5m * 6) = -31(3 + -1m) (-30 + 30m) = -31(3 + -1m) -30 + 30m = (3 * -31 + -1m * -31) -30 + 30m = (-93 + 31m) Solving -30 + 30m = -93 + 31m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-31m' to each side of the equation. -30 + 30m + -31m = -93 + 31m + -31m Combine like terms: 30m + -31m = -1m -30 + -1m = -93 + 31m + -31m Combine like terms: 31m + -31m = 0 -30 + -1m = -93 + 0 -30 + -1m = -93 Add '30' to each side of the equation. -30 + 30 + -1m = -93 + 30 Combine like terms: -30 + 30 = 0 0 + -1m = -93 + 30 -1m = -93 + 30 Combine like terms: -93 + 30 = -63 -1m = -63 Divide each side by '-1'. m = 63 Simplifying m = 63
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