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Simplifying -5m + 25 + -3(m + -1) = 9m + -1(6m + -7) + -3m + 5 Reorder the terms: -5m + 25 + -3(-1 + m) = 9m + -1(6m + -7) + -3m + 5 -5m + 25 + (-1 * -3 + m * -3) = 9m + -1(6m + -7) + -3m + 5 -5m + 25 + (3 + -3m) = 9m + -1(6m + -7) + -3m + 5 Reorder the terms: 25 + 3 + -5m + -3m = 9m + -1(6m + -7) + -3m + 5 Combine like terms: 25 + 3 = 28 28 + -5m + -3m = 9m + -1(6m + -7) + -3m + 5 Combine like terms: -5m + -3m = -8m 28 + -8m = 9m + -1(6m + -7) + -3m + 5 Reorder the terms: 28 + -8m = 9m + -1(-7 + 6m) + -3m + 5 28 + -8m = 9m + (-7 * -1 + 6m * -1) + -3m + 5 28 + -8m = 9m + (7 + -6m) + -3m + 5 Reorder the terms: 28 + -8m = 7 + 5 + 9m + -6m + -3m Combine like terms: 7 + 5 = 12 28 + -8m = 12 + 9m + -6m + -3m Combine like terms: 9m + -6m = 3m 28 + -8m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 28 + -8m = 12 + 0 28 + -8m = 12 Solving 28 + -8m = 12 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -8m = 12 + -28 Combine like terms: 28 + -28 = 0 0 + -8m = 12 + -28 -8m = 12 + -28 Combine like terms: 12 + -28 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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