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Simplifying 8(4m + 2) = -4(7m + 2) Reorder the terms: 8(2 + 4m) = -4(7m + 2) (2 * 8 + 4m * 8) = -4(7m + 2) (16 + 32m) = -4(7m + 2) Reorder the terms: 16 + 32m = -4(2 + 7m) 16 + 32m = (2 * -4 + 7m * -4) 16 + 32m = (-8 + -28m) Solving 16 + 32m = -8 + -28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '28m' to each side of the equation. 16 + 32m + 28m = -8 + -28m + 28m Combine like terms: 32m + 28m = 60m 16 + 60m = -8 + -28m + 28m Combine like terms: -28m + 28m = 0 16 + 60m = -8 + 0 16 + 60m = -8 Add '-16' to each side of the equation. 16 + -16 + 60m = -8 + -16 Combine like terms: 16 + -16 = 0 0 + 60m = -8 + -16 60m = -8 + -16 Combine like terms: -8 + -16 = -24 60m = -24 Divide each side by '60'. m = -0.4 Simplifying m = -0.4
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