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Simplifying -2m + 7 + -9(m + -1) = 5m + -1(7m + -3) + -6m + 1 Reorder the terms: -2m + 7 + -9(-1 + m) = 5m + -1(7m + -3) + -6m + 1 -2m + 7 + (-1 * -9 + m * -9) = 5m + -1(7m + -3) + -6m + 1 -2m + 7 + (9 + -9m) = 5m + -1(7m + -3) + -6m + 1 Reorder the terms: 7 + 9 + -2m + -9m = 5m + -1(7m + -3) + -6m + 1 Combine like terms: 7 + 9 = 16 16 + -2m + -9m = 5m + -1(7m + -3) + -6m + 1 Combine like terms: -2m + -9m = -11m 16 + -11m = 5m + -1(7m + -3) + -6m + 1 Reorder the terms: 16 + -11m = 5m + -1(-3 + 7m) + -6m + 1 16 + -11m = 5m + (-3 * -1 + 7m * -1) + -6m + 1 16 + -11m = 5m + (3 + -7m) + -6m + 1 Reorder the terms: 16 + -11m = 3 + 1 + 5m + -7m + -6m Combine like terms: 3 + 1 = 4 16 + -11m = 4 + 5m + -7m + -6m Combine like terms: 5m + -7m = -2m 16 + -11m = 4 + -2m + -6m Combine like terms: -2m + -6m = -8m 16 + -11m = 4 + -8m Solving 16 + -11m = 4 + -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. 16 + -11m + 8m = 4 + -8m + 8m Combine like terms: -11m + 8m = -3m 16 + -3m = 4 + -8m + 8m Combine like terms: -8m + 8m = 0 16 + -3m = 4 + 0 16 + -3m = 4 Add '-16' to each side of the equation. 16 + -16 + -3m = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -3m = 4 + -16 -3m = 4 + -16 Combine like terms: 4 + -16 = -12 -3m = -12 Divide each side by '-3'. m = 4 Simplifying m = 4
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