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Simplifying -2m + -7 + -6(m + -1) = 3m + -1(9m + -5) + -5m + 6 Reorder the terms: -2m + -7 + -6(-1 + m) = 3m + -1(9m + -5) + -5m + 6 -2m + -7 + (-1 * -6 + m * -6) = 3m + -1(9m + -5) + -5m + 6 -2m + -7 + (6 + -6m) = 3m + -1(9m + -5) + -5m + 6 Reorder the terms: -7 + 6 + -2m + -6m = 3m + -1(9m + -5) + -5m + 6 Combine like terms: -7 + 6 = -1 -1 + -2m + -6m = 3m + -1(9m + -5) + -5m + 6 Combine like terms: -2m + -6m = -8m -1 + -8m = 3m + -1(9m + -5) + -5m + 6 Reorder the terms: -1 + -8m = 3m + -1(-5 + 9m) + -5m + 6 -1 + -8m = 3m + (-5 * -1 + 9m * -1) + -5m + 6 -1 + -8m = 3m + (5 + -9m) + -5m + 6 Reorder the terms: -1 + -8m = 5 + 6 + 3m + -9m + -5m Combine like terms: 5 + 6 = 11 -1 + -8m = 11 + 3m + -9m + -5m Combine like terms: 3m + -9m = -6m -1 + -8m = 11 + -6m + -5m Combine like terms: -6m + -5m = -11m -1 + -8m = 11 + -11m Solving -1 + -8m = 11 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. -1 + -8m + 11m = 11 + -11m + 11m Combine like terms: -8m + 11m = 3m -1 + 3m = 11 + -11m + 11m Combine like terms: -11m + 11m = 0 -1 + 3m = 11 + 0 -1 + 3m = 11 Add '1' to each side of the equation. -1 + 1 + 3m = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 3m = 11 + 1 3m = 11 + 1 Combine like terms: 11 + 1 = 12 3m = 12 Divide each side by '3'. m = 4 Simplifying m = 4
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