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Simplifying 7(2 + -3m) + -5m = 2(3m + -4) (2 * 7 + -3m * 7) + -5m = 2(3m + -4) (14 + -21m) + -5m = 2(3m + -4) Combine like terms: -21m + -5m = -26m 14 + -26m = 2(3m + -4) Reorder the terms: 14 + -26m = 2(-4 + 3m) 14 + -26m = (-4 * 2 + 3m * 2) 14 + -26m = (-8 + 6m) Solving 14 + -26m = -8 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 14 + -26m + -6m = -8 + 6m + -6m Combine like terms: -26m + -6m = -32m 14 + -32m = -8 + 6m + -6m Combine like terms: 6m + -6m = 0 14 + -32m = -8 + 0 14 + -32m = -8 Add '-14' to each side of the equation. 14 + -14 + -32m = -8 + -14 Combine like terms: 14 + -14 = 0 0 + -32m = -8 + -14 -32m = -8 + -14 Combine like terms: -8 + -14 = -22 -32m = -22 Divide each side by '-32'. m = 0.6875 Simplifying m = 0.6875
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