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Simplifying 7m + -5(m + 1) = 2(3 + -1m) + -5 Reorder the terms: 7m + -5(1 + m) = 2(3 + -1m) + -5 7m + (1 * -5 + m * -5) = 2(3 + -1m) + -5 7m + (-5 + -5m) = 2(3 + -1m) + -5 Reorder the terms: -5 + 7m + -5m = 2(3 + -1m) + -5 Combine like terms: 7m + -5m = 2m -5 + 2m = 2(3 + -1m) + -5 -5 + 2m = (3 * 2 + -1m * 2) + -5 -5 + 2m = (6 + -2m) + -5 Reorder the terms: -5 + 2m = 6 + -5 + -2m Combine like terms: 6 + -5 = 1 -5 + 2m = 1 + -2m Solving -5 + 2m = 1 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -5 + 2m + 2m = 1 + -2m + 2m Combine like terms: 2m + 2m = 4m -5 + 4m = 1 + -2m + 2m Combine like terms: -2m + 2m = 0 -5 + 4m = 1 + 0 -5 + 4m = 1 Add '5' to each side of the equation. -5 + 5 + 4m = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 4m = 1 + 5 4m = 1 + 5 Combine like terms: 1 + 5 = 6 4m = 6 Divide each side by '4'. m = 1.5 Simplifying m = 1.5
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