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Simplifying 4(3 + -2m) + -7 = 2m (3 * 4 + -2m * 4) + -7 = 2m (12 + -8m) + -7 = 2m Reorder the terms: 12 + -7 + -8m = 2m Combine like terms: 12 + -7 = 5 5 + -8m = 2m Solving 5 + -8m = 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 + -8m + -2m = 2m + -2m Combine like terms: -8m + -2m = -10m 5 + -10m = 2m + -2m Combine like terms: 2m + -2m = 0 5 + -10m = 0 Add '-5' to each side of the equation. 5 + -5 + -10m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -10m = 0 + -5 -10m = 0 + -5 Combine like terms: 0 + -5 = -5 -10m = -5 Divide each side by '-10'. m = 0.5 Simplifying m = 0.5
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