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Simplifying 2(5m + -1) + 4 = 2m + 3(2m + 6) Reorder the terms: 2(-1 + 5m) + 4 = 2m + 3(2m + 6) (-1 * 2 + 5m * 2) + 4 = 2m + 3(2m + 6) (-2 + 10m) + 4 = 2m + 3(2m + 6) Reorder the terms: -2 + 4 + 10m = 2m + 3(2m + 6) Combine like terms: -2 + 4 = 2 2 + 10m = 2m + 3(2m + 6) Reorder the terms: 2 + 10m = 2m + 3(6 + 2m) 2 + 10m = 2m + (6 * 3 + 2m * 3) 2 + 10m = 2m + (18 + 6m) Reorder the terms: 2 + 10m = 18 + 2m + 6m Combine like terms: 2m + 6m = 8m 2 + 10m = 18 + 8m Solving 2 + 10m = 18 + 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. 2 + 10m + -8m = 18 + 8m + -8m Combine like terms: 10m + -8m = 2m 2 + 2m = 18 + 8m + -8m Combine like terms: 8m + -8m = 0 2 + 2m = 18 + 0 2 + 2m = 18 Add '-2' to each side of the equation. 2 + -2 + 2m = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 2m = 18 + -2 2m = 18 + -2 Combine like terms: 18 + -2 = 16 2m = 16 Divide each side by '2'. m = 8 Simplifying m = 8
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