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Simplifying -3m + 2 + -7(m + -3) = 6m + -1(8m + -5) + -5m + 3 Reorder the terms: -3m + 2 + -7(-3 + m) = 6m + -1(8m + -5) + -5m + 3 -3m + 2 + (-3 * -7 + m * -7) = 6m + -1(8m + -5) + -5m + 3 -3m + 2 + (21 + -7m) = 6m + -1(8m + -5) + -5m + 3 Reorder the terms: 2 + 21 + -3m + -7m = 6m + -1(8m + -5) + -5m + 3 Combine like terms: 2 + 21 = 23 23 + -3m + -7m = 6m + -1(8m + -5) + -5m + 3 Combine like terms: -3m + -7m = -10m 23 + -10m = 6m + -1(8m + -5) + -5m + 3 Reorder the terms: 23 + -10m = 6m + -1(-5 + 8m) + -5m + 3 23 + -10m = 6m + (-5 * -1 + 8m * -1) + -5m + 3 23 + -10m = 6m + (5 + -8m) + -5m + 3 Reorder the terms: 23 + -10m = 5 + 3 + 6m + -8m + -5m Combine like terms: 5 + 3 = 8 23 + -10m = 8 + 6m + -8m + -5m Combine like terms: 6m + -8m = -2m 23 + -10m = 8 + -2m + -5m Combine like terms: -2m + -5m = -7m 23 + -10m = 8 + -7m Solving 23 + -10m = 8 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 23 + -10m + 7m = 8 + -7m + 7m Combine like terms: -10m + 7m = -3m 23 + -3m = 8 + -7m + 7m Combine like terms: -7m + 7m = 0 23 + -3m = 8 + 0 23 + -3m = 8 Add '-23' to each side of the equation. 23 + -23 + -3m = 8 + -23 Combine like terms: 23 + -23 = 0 0 + -3m = 8 + -23 -3m = 8 + -23 Combine like terms: 8 + -23 = -15 -3m = -15 Divide each side by '-3'. m = 5 Simplifying m = 5
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