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Simplifying 2(m + 4) = 2(3m + -10) Reorder the terms: 2(4 + m) = 2(3m + -10) (4 * 2 + m * 2) = 2(3m + -10) (8 + 2m) = 2(3m + -10) Reorder the terms: 8 + 2m = 2(-10 + 3m) 8 + 2m = (-10 * 2 + 3m * 2) 8 + 2m = (-20 + 6m) Solving 8 + 2m = -20 + 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. 8 + 2m + -6m = -20 + 6m + -6m Combine like terms: 2m + -6m = -4m 8 + -4m = -20 + 6m + -6m Combine like terms: 6m + -6m = 0 8 + -4m = -20 + 0 8 + -4m = -20 Add '-8' to each side of the equation. 8 + -8 + -4m = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -4m = -20 + -8 -4m = -20 + -8 Combine like terms: -20 + -8 = -28 -4m = -28 Divide each side by '-4'. m = 7 Simplifying m = 7
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