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Simplifying -7m + 28 + -8(m + -2) = 4m + -1(3m + -9) + -6m + 5 Reorder the terms: -7m + 28 + -8(-2 + m) = 4m + -1(3m + -9) + -6m + 5 -7m + 28 + (-2 * -8 + m * -8) = 4m + -1(3m + -9) + -6m + 5 -7m + 28 + (16 + -8m) = 4m + -1(3m + -9) + -6m + 5 Reorder the terms: 28 + 16 + -7m + -8m = 4m + -1(3m + -9) + -6m + 5 Combine like terms: 28 + 16 = 44 44 + -7m + -8m = 4m + -1(3m + -9) + -6m + 5 Combine like terms: -7m + -8m = -15m 44 + -15m = 4m + -1(3m + -9) + -6m + 5 Reorder the terms: 44 + -15m = 4m + -1(-9 + 3m) + -6m + 5 44 + -15m = 4m + (-9 * -1 + 3m * -1) + -6m + 5 44 + -15m = 4m + (9 + -3m) + -6m + 5 Reorder the terms: 44 + -15m = 9 + 5 + 4m + -3m + -6m Combine like terms: 9 + 5 = 14 44 + -15m = 14 + 4m + -3m + -6m Combine like terms: 4m + -3m = 1m 44 + -15m = 14 + 1m + -6m Combine like terms: 1m + -6m = -5m 44 + -15m = 14 + -5m Solving 44 + -15m = 14 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 44 + -15m + 5m = 14 + -5m + 5m Combine like terms: -15m + 5m = -10m 44 + -10m = 14 + -5m + 5m Combine like terms: -5m + 5m = 0 44 + -10m = 14 + 0 44 + -10m = 14 Add '-44' to each side of the equation. 44 + -44 + -10m = 14 + -44 Combine like terms: 44 + -44 = 0 0 + -10m = 14 + -44 -10m = 14 + -44 Combine like terms: 14 + -44 = -30 -10m = -30 Divide each side by '-10'. m = 3 Simplifying m = 3
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