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Simplifying 3(2m + 8) = 6(m + 2) + -16m Reorder the terms: 3(8 + 2m) = 6(m + 2) + -16m (8 * 3 + 2m * 3) = 6(m + 2) + -16m (24 + 6m) = 6(m + 2) + -16m Reorder the terms: 24 + 6m = 6(2 + m) + -16m 24 + 6m = (2 * 6 + m * 6) + -16m 24 + 6m = (12 + 6m) + -16m Combine like terms: 6m + -16m = -10m 24 + 6m = 12 + -10m Solving 24 + 6m = 12 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 24 + 6m + 10m = 12 + -10m + 10m Combine like terms: 6m + 10m = 16m 24 + 16m = 12 + -10m + 10m Combine like terms: -10m + 10m = 0 24 + 16m = 12 + 0 24 + 16m = 12 Add '-24' to each side of the equation. 24 + -24 + 16m = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 16m = 12 + -24 16m = 12 + -24 Combine like terms: 12 + -24 = -12 16m = -12 Divide each side by '16'. m = -0.75 Simplifying m = -0.75
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