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Simplifying 4m + -1(5 + 3m) = 2m + (5m + 7) 4m + (5 * -1 + 3m * -1) = 2m + (5m + 7) 4m + (-5 + -3m) = 2m + (5m + 7) Reorder the terms: -5 + 4m + -3m = 2m + (5m + 7) Combine like terms: 4m + -3m = 1m -5 + 1m = 2m + (5m + 7) Reorder the terms: -5 + 1m = 2m + (7 + 5m) Remove parenthesis around (7 + 5m) -5 + 1m = 2m + 7 + 5m Reorder the terms: -5 + 1m = 7 + 2m + 5m Combine like terms: 2m + 5m = 7m -5 + 1m = 7 + 7m Solving -5 + 1m = 7 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -5 + 1m + -7m = 7 + 7m + -7m Combine like terms: 1m + -7m = -6m -5 + -6m = 7 + 7m + -7m Combine like terms: 7m + -7m = 0 -5 + -6m = 7 + 0 -5 + -6m = 7 Add '5' to each side of the equation. -5 + 5 + -6m = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6m = 7 + 5 -6m = 7 + 5 Combine like terms: 7 + 5 = 12 -6m = 12 Divide each side by '-6'. m = -2 Simplifying m = -2
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