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Simplifying 4 + -1(2m + 3) = 7m + (2m + 12) Reorder the terms: 4 + -1(3 + 2m) = 7m + (2m + 12) 4 + (3 * -1 + 2m * -1) = 7m + (2m + 12) 4 + (-3 + -2m) = 7m + (2m + 12) Combine like terms: 4 + -3 = 1 1 + -2m = 7m + (2m + 12) Reorder the terms: 1 + -2m = 7m + (12 + 2m) Remove parenthesis around (12 + 2m) 1 + -2m = 7m + 12 + 2m Reorder the terms: 1 + -2m = 12 + 7m + 2m Combine like terms: 7m + 2m = 9m 1 + -2m = 12 + 9m Solving 1 + -2m = 12 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 1 + -2m + -9m = 12 + 9m + -9m Combine like terms: -2m + -9m = -11m 1 + -11m = 12 + 9m + -9m Combine like terms: 9m + -9m = 0 1 + -11m = 12 + 0 1 + -11m = 12 Add '-1' to each side of the equation. 1 + -1 + -11m = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -11m = 12 + -1 -11m = 12 + -1 Combine like terms: 12 + -1 = 11 -11m = 11 Divide each side by '-11'. m = -1 Simplifying m = -1
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