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Simplifying 6(m + 2) = 4(2m + 8) Reorder the terms: 6(2 + m) = 4(2m + 8) (2 * 6 + m * 6) = 4(2m + 8) (12 + 6m) = 4(2m + 8) Reorder the terms: 12 + 6m = 4(8 + 2m) 12 + 6m = (8 * 4 + 2m * 4) 12 + 6m = (32 + 8m) Solving 12 + 6m = 32 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 12 + 6m + -8m = 32 + 8m + -8m Combine like terms: 6m + -8m = -2m 12 + -2m = 32 + 8m + -8m Combine like terms: 8m + -8m = 0 12 + -2m = 32 + 0 12 + -2m = 32 Add '-12' to each side of the equation. 12 + -12 + -2m = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -2m = 32 + -12 -2m = 32 + -12 Combine like terms: 32 + -12 = 20 -2m = 20 Divide each side by '-2'. m = -10 Simplifying m = -10
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