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Simplifying -3m + -37 + -5(m + -6) = 6m + -1(9m + -6) + -8m + 8 Reorder the terms: -3m + -37 + -5(-6 + m) = 6m + -1(9m + -6) + -8m + 8 -3m + -37 + (-6 * -5 + m * -5) = 6m + -1(9m + -6) + -8m + 8 -3m + -37 + (30 + -5m) = 6m + -1(9m + -6) + -8m + 8 Reorder the terms: -37 + 30 + -3m + -5m = 6m + -1(9m + -6) + -8m + 8 Combine like terms: -37 + 30 = -7 -7 + -3m + -5m = 6m + -1(9m + -6) + -8m + 8 Combine like terms: -3m + -5m = -8m -7 + -8m = 6m + -1(9m + -6) + -8m + 8 Reorder the terms: -7 + -8m = 6m + -1(-6 + 9m) + -8m + 8 -7 + -8m = 6m + (-6 * -1 + 9m * -1) + -8m + 8 -7 + -8m = 6m + (6 + -9m) + -8m + 8 Reorder the terms: -7 + -8m = 6 + 8 + 6m + -9m + -8m Combine like terms: 6 + 8 = 14 -7 + -8m = 14 + 6m + -9m + -8m Combine like terms: 6m + -9m = -3m -7 + -8m = 14 + -3m + -8m Combine like terms: -3m + -8m = -11m -7 + -8m = 14 + -11m Solving -7 + -8m = 14 + -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. -7 + -8m + 11m = 14 + -11m + 11m Combine like terms: -8m + 11m = 3m -7 + 3m = 14 + -11m + 11m Combine like terms: -11m + 11m = 0 -7 + 3m = 14 + 0 -7 + 3m = 14 Add '7' to each side of the equation. -7 + 7 + 3m = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 3m = 14 + 7 3m = 14 + 7 Combine like terms: 14 + 7 = 21 3m = 21 Divide each side by '3'. m = 7 Simplifying m = 7
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