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Simplifying 2 + 2(-4m + -3) = -3(8 + -4m) Reorder the terms: 2 + 2(-3 + -4m) = -3(8 + -4m) 2 + (-3 * 2 + -4m * 2) = -3(8 + -4m) 2 + (-6 + -8m) = -3(8 + -4m) Combine like terms: 2 + -6 = -4 -4 + -8m = -3(8 + -4m) -4 + -8m = (8 * -3 + -4m * -3) -4 + -8m = (-24 + 12m) Solving -4 + -8m = -24 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -4 + -8m + -12m = -24 + 12m + -12m Combine like terms: -8m + -12m = -20m -4 + -20m = -24 + 12m + -12m Combine like terms: 12m + -12m = 0 -4 + -20m = -24 + 0 -4 + -20m = -24 Add '4' to each side of the equation. -4 + 4 + -20m = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -20m = -24 + 4 -20m = -24 + 4 Combine like terms: -24 + 4 = -20 -20m = -20 Divide each side by '-20'. m = 1 Simplifying m = 1
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