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Simplifying 2(3m + -1) + 5 = 8m + -7 Reorder the terms: 2(-1 + 3m) + 5 = 8m + -7 (-1 * 2 + 3m * 2) + 5 = 8m + -7 (-2 + 6m) + 5 = 8m + -7 Reorder the terms: -2 + 5 + 6m = 8m + -7 Combine like terms: -2 + 5 = 3 3 + 6m = 8m + -7 Reorder the terms: 3 + 6m = -7 + 8m Solving 3 + 6m = -7 + 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. 3 + 6m + -8m = -7 + 8m + -8m Combine like terms: 6m + -8m = -2m 3 + -2m = -7 + 8m + -8m Combine like terms: 8m + -8m = 0 3 + -2m = -7 + 0 3 + -2m = -7 Add '-3' to each side of the equation. 3 + -3 + -2m = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = -7 + -3 -2m = -7 + -3 Combine like terms: -7 + -3 = -10 -2m = -10 Divide each side by '-2'. m = 5 Simplifying m = 5
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