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Simplifying 0.75 + -1(0.25m + 1) = 1.5 + -0.5m Reorder the terms: 0.75 + -1(1 + 0.25m) = 1.5 + -0.5m 0.75 + (1 * -1 + 0.25m * -1) = 1.5 + -0.5m 0.75 + (-1 + -0.25m) = 1.5 + -0.5m Combine like terms: 0.75 + -1 = -0.25 -0.25 + -0.25m = 1.5 + -0.5m Solving -0.25 + -0.25m = 1.5 + -0.5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.5m' to each side of the equation. -0.25 + -0.25m + 0.5m = 1.5 + -0.5m + 0.5m Combine like terms: -0.25m + 0.5m = 0.25m -0.25 + 0.25m = 1.5 + -0.5m + 0.5m Combine like terms: -0.5m + 0.5m = 0.0 -0.25 + 0.25m = 1.5 + 0.0 -0.25 + 0.25m = 1.5 Add '0.25' to each side of the equation. -0.25 + 0.25 + 0.25m = 1.5 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 0.25m = 1.5 + 0.25 0.25m = 1.5 + 0.25 Combine like terms: 1.5 + 0.25 = 1.75 0.25m = 1.75 Divide each side by '0.25'. m = 7 Simplifying m = 7
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