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Simplifying 1 + 2m + -2.5 = 5 + 4m + 2 Reorder the terms: 1 + -2.5 + 2m = 5 + 4m + 2 Combine like terms: 1 + -2.5 = -1.5 -1.5 + 2m = 5 + 4m + 2 Reorder the terms: -1.5 + 2m = 5 + 2 + 4m Combine like terms: 5 + 2 = 7 -1.5 + 2m = 7 + 4m Solving -1.5 + 2m = 7 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -1.5 + 2m + -4m = 7 + 4m + -4m Combine like terms: 2m + -4m = -2m -1.5 + -2m = 7 + 4m + -4m Combine like terms: 4m + -4m = 0 -1.5 + -2m = 7 + 0 -1.5 + -2m = 7 Add '1.5' to each side of the equation. -1.5 + 1.5 + -2m = 7 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2m = 7 + 1.5 -2m = 7 + 1.5 Combine like terms: 7 + 1.5 = 8.5 -2m = 8.5 Divide each side by '-2'. m = -4.25 Simplifying m = -4.25
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