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Simplifying 8(m + 2) = 12 + 6(2m + -12) Reorder the terms: 8(2 + m) = 12 + 6(2m + -12) (2 * 8 + m * 8) = 12 + 6(2m + -12) (16 + 8m) = 12 + 6(2m + -12) Reorder the terms: 16 + 8m = 12 + 6(-12 + 2m) 16 + 8m = 12 + (-12 * 6 + 2m * 6) 16 + 8m = 12 + (-72 + 12m) Combine like terms: 12 + -72 = -60 16 + 8m = -60 + 12m Solving 16 + 8m = -60 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 16 + 8m + -12m = -60 + 12m + -12m Combine like terms: 8m + -12m = -4m 16 + -4m = -60 + 12m + -12m Combine like terms: 12m + -12m = 0 16 + -4m = -60 + 0 16 + -4m = -60 Add '-16' to each side of the equation. 16 + -16 + -4m = -60 + -16 Combine like terms: 16 + -16 = 0 0 + -4m = -60 + -16 -4m = -60 + -16 Combine like terms: -60 + -16 = -76 -4m = -76 Divide each side by '-4'. m = 19 Simplifying m = 19
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