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Simplifying 8(m + 4) + -6 + 2m = 3(4m + 6) + -2 Reorder the terms: 8(4 + m) + -6 + 2m = 3(4m + 6) + -2 (4 * 8 + m * 8) + -6 + 2m = 3(4m + 6) + -2 (32 + 8m) + -6 + 2m = 3(4m + 6) + -2 Reorder the terms: 32 + -6 + 8m + 2m = 3(4m + 6) + -2 Combine like terms: 32 + -6 = 26 26 + 8m + 2m = 3(4m + 6) + -2 Combine like terms: 8m + 2m = 10m 26 + 10m = 3(4m + 6) + -2 Reorder the terms: 26 + 10m = 3(6 + 4m) + -2 26 + 10m = (6 * 3 + 4m * 3) + -2 26 + 10m = (18 + 12m) + -2 Reorder the terms: 26 + 10m = 18 + -2 + 12m Combine like terms: 18 + -2 = 16 26 + 10m = 16 + 12m Solving 26 + 10m = 16 + 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. 26 + 10m + -12m = 16 + 12m + -12m Combine like terms: 10m + -12m = -2m 26 + -2m = 16 + 12m + -12m Combine like terms: 12m + -12m = 0 26 + -2m = 16 + 0 26 + -2m = 16 Add '-26' to each side of the equation. 26 + -26 + -2m = 16 + -26 Combine like terms: 26 + -26 = 0 0 + -2m = 16 + -26 -2m = 16 + -26 Combine like terms: 16 + -26 = -10 -2m = -10 Divide each side by '-2'. m = 5 Simplifying m = 5
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