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Simplifying -7m + -20 + -4(m + -3) = 3m + -1(8m + -6) + -9m + 1 Reorder the terms: -7m + -20 + -4(-3 + m) = 3m + -1(8m + -6) + -9m + 1 -7m + -20 + (-3 * -4 + m * -4) = 3m + -1(8m + -6) + -9m + 1 -7m + -20 + (12 + -4m) = 3m + -1(8m + -6) + -9m + 1 Reorder the terms: -20 + 12 + -7m + -4m = 3m + -1(8m + -6) + -9m + 1 Combine like terms: -20 + 12 = -8 -8 + -7m + -4m = 3m + -1(8m + -6) + -9m + 1 Combine like terms: -7m + -4m = -11m -8 + -11m = 3m + -1(8m + -6) + -9m + 1 Reorder the terms: -8 + -11m = 3m + -1(-6 + 8m) + -9m + 1 -8 + -11m = 3m + (-6 * -1 + 8m * -1) + -9m + 1 -8 + -11m = 3m + (6 + -8m) + -9m + 1 Reorder the terms: -8 + -11m = 6 + 1 + 3m + -8m + -9m Combine like terms: 6 + 1 = 7 -8 + -11m = 7 + 3m + -8m + -9m Combine like terms: 3m + -8m = -5m -8 + -11m = 7 + -5m + -9m Combine like terms: -5m + -9m = -14m -8 + -11m = 7 + -14m Solving -8 + -11m = 7 + -14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14m' to each side of the equation. -8 + -11m + 14m = 7 + -14m + 14m Combine like terms: -11m + 14m = 3m -8 + 3m = 7 + -14m + 14m Combine like terms: -14m + 14m = 0 -8 + 3m = 7 + 0 -8 + 3m = 7 Add '8' to each side of the equation. -8 + 8 + 3m = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3m = 7 + 8 3m = 7 + 8 Combine like terms: 7 + 8 = 15 3m = 15 Divide each side by '3'. m = 5 Simplifying m = 5
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