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Simplifying 7m + -3 + -2 = (5m + -2) + 6 Reorder the terms: -3 + -2 + 7m = (5m + -2) + 6 Combine like terms: -3 + -2 = -5 -5 + 7m = (5m + -2) + 6 Reorder the terms: -5 + 7m = (-2 + 5m) + 6 Remove parenthesis around (-2 + 5m) -5 + 7m = -2 + 5m + 6 Reorder the terms: -5 + 7m = -2 + 6 + 5m Combine like terms: -2 + 6 = 4 -5 + 7m = 4 + 5m Solving -5 + 7m = 4 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -5 + 7m + -5m = 4 + 5m + -5m Combine like terms: 7m + -5m = 2m -5 + 2m = 4 + 5m + -5m Combine like terms: 5m + -5m = 0 -5 + 2m = 4 + 0 -5 + 2m = 4 Add '5' to each side of the equation. -5 + 5 + 2m = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 2m = 4 + 5 2m = 4 + 5 Combine like terms: 4 + 5 = 9 2m = 9 Divide each side by '2'. m = 4.5 Simplifying m = 4.5
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