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Simplifying -1m + -2(-5 + 2m) + 4(2m + 7) + -4(6 + -1m) = -5(m + 6) + 5(11 + 3m) + -2 -1m + (-5 * -2 + 2m * -2) + 4(2m + 7) + -4(6 + -1m) = -5(m + 6) + 5(11 + 3m) + -2 -1m + (10 + -4m) + 4(2m + 7) + -4(6 + -1m) = -5(m + 6) + 5(11 + 3m) + -2 Reorder the terms: -1m + 10 + -4m + 4(7 + 2m) + -4(6 + -1m) = -5(m + 6) + 5(11 + 3m) + -2 -1m + 10 + -4m + (7 * 4 + 2m * 4) + -4(6 + -1m) = -5(m + 6) + 5(11 + 3m) + -2 -1m + 10 + -4m + (28 + 8m) + -4(6 + -1m) = -5(m + 6) + 5(11 + 3m) + -2 -1m + 10 + -4m + 28 + 8m + (6 * -4 + -1m * -4) = -5(m + 6) + 5(11 + 3m) + -2 -1m + 10 + -4m + 28 + 8m + (-24 + 4m) = -5(m + 6) + 5(11 + 3m) + -2 Reorder the terms: 10 + 28 + -24 + -1m + -4m + 8m + 4m = -5(m + 6) + 5(11 + 3m) + -2 Combine like terms: 10 + 28 = 38 38 + -24 + -1m + -4m + 8m + 4m = -5(m + 6) + 5(11 + 3m) + -2 Combine like terms: 38 + -24 = 14 14 + -1m + -4m + 8m + 4m = -5(m + 6) + 5(11 + 3m) + -2 Combine like terms: -1m + -4m = -5m 14 + -5m + 8m + 4m = -5(m + 6) + 5(11 + 3m) + -2 Combine like terms: -5m + 8m = 3m 14 + 3m + 4m = -5(m + 6) + 5(11 + 3m) + -2 Combine like terms: 3m + 4m = 7m 14 + 7m = -5(m + 6) + 5(11 + 3m) + -2 Reorder the terms: 14 + 7m = -5(6 + m) + 5(11 + 3m) + -2 14 + 7m = (6 * -5 + m * -5) + 5(11 + 3m) + -2 14 + 7m = (-30 + -5m) + 5(11 + 3m) + -2 14 + 7m = -30 + -5m + (11 * 5 + 3m * 5) + -2 14 + 7m = -30 + -5m + (55 + 15m) + -2 Reorder the terms: 14 + 7m = -30 + 55 + -2 + -5m + 15m Combine like terms: -30 + 55 = 25 14 + 7m = 25 + -2 + -5m + 15m Combine like terms: 25 + -2 = 23 14 + 7m = 23 + -5m + 15m Combine like terms: -5m + 15m = 10m 14 + 7m = 23 + 10m Solving 14 + 7m = 23 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 14 + 7m + -10m = 23 + 10m + -10m Combine like terms: 7m + -10m = -3m 14 + -3m = 23 + 10m + -10m Combine like terms: 10m + -10m = 0 14 + -3m = 23 + 0 14 + -3m = 23 Add '-14' to each side of the equation. 14 + -14 + -3m = 23 + -14 Combine like terms: 14 + -14 = 0 0 + -3m = 23 + -14 -3m = 23 + -14 Combine like terms: 23 + -14 = 9 -3m = 9 Divide each side by '-3'. m = -3 Simplifying m = -3
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