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Simplifying 4(1 + -7m) = -2m + -10(2 + 3m) (1 * 4 + -7m * 4) = -2m + -10(2 + 3m) (4 + -28m) = -2m + -10(2 + 3m) 4 + -28m = -2m + (2 * -10 + 3m * -10) 4 + -28m = -2m + (-20 + -30m) Reorder the terms: 4 + -28m = -20 + -2m + -30m Combine like terms: -2m + -30m = -32m 4 + -28m = -20 + -32m Solving 4 + -28m = -20 + -32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '32m' to each side of the equation. 4 + -28m + 32m = -20 + -32m + 32m Combine like terms: -28m + 32m = 4m 4 + 4m = -20 + -32m + 32m Combine like terms: -32m + 32m = 0 4 + 4m = -20 + 0 4 + 4m = -20 Add '-4' to each side of the equation. 4 + -4 + 4m = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 4m = -20 + -4 4m = -20 + -4 Combine like terms: -20 + -4 = -24 4m = -24 Divide each side by '4'. m = -6 Simplifying m = -6
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