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Simplifying 8(1 + 3m) + -3m = 4(6m + -4) (1 * 8 + 3m * 8) + -3m = 4(6m + -4) (8 + 24m) + -3m = 4(6m + -4) Combine like terms: 24m + -3m = 21m 8 + 21m = 4(6m + -4) Reorder the terms: 8 + 21m = 4(-4 + 6m) 8 + 21m = (-4 * 4 + 6m * 4) 8 + 21m = (-16 + 24m) Solving 8 + 21m = -16 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. 8 + 21m + -24m = -16 + 24m + -24m Combine like terms: 21m + -24m = -3m 8 + -3m = -16 + 24m + -24m Combine like terms: 24m + -24m = 0 8 + -3m = -16 + 0 8 + -3m = -16 Add '-8' to each side of the equation. 8 + -8 + -3m = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -3m = -16 + -8 -3m = -16 + -8 Combine like terms: -16 + -8 = -24 -3m = -24 Divide each side by '-3'. m = 8 Simplifying m = 8
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