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Simplifying 1 + -2.5(3 + -1m) = 3.5(3m + -5 + 4m) 1 + (3 * -2.5 + -1m * -2.5) = 3.5(3m + -5 + 4m) 1 + (-7.5 + 2.5m) = 3.5(3m + -5 + 4m) Combine like terms: 1 + -7.5 = -6.5 -6.5 + 2.5m = 3.5(3m + -5 + 4m) Reorder the terms: -6.5 + 2.5m = 3.5(-5 + 3m + 4m) Combine like terms: 3m + 4m = 7m -6.5 + 2.5m = 3.5(-5 + 7m) -6.5 + 2.5m = (-5 * 3.5 + 7m * 3.5) -6.5 + 2.5m = (-17.5 + 24.5m) Solving -6.5 + 2.5m = -17.5 + 24.5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24.5m' to each side of the equation. -6.5 + 2.5m + -24.5m = -17.5 + 24.5m + -24.5m Combine like terms: 2.5m + -24.5m = -22m -6.5 + -22m = -17.5 + 24.5m + -24.5m Combine like terms: 24.5m + -24.5m = 0.0 -6.5 + -22m = -17.5 + 0.0 -6.5 + -22m = -17.5 Add '6.5' to each side of the equation. -6.5 + 6.5 + -22m = -17.5 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + -22m = -17.5 + 6.5 -22m = -17.5 + 6.5 Combine like terms: -17.5 + 6.5 = -11 -22m = -11 Divide each side by '-22'. m = 0.5 Simplifying m = 0.5
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