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Simplifying -2m + -33 + -5(m + -5) = 3m + -1(6m + -7) + -7m + 3 Reorder the terms: -2m + -33 + -5(-5 + m) = 3m + -1(6m + -7) + -7m + 3 -2m + -33 + (-5 * -5 + m * -5) = 3m + -1(6m + -7) + -7m + 3 -2m + -33 + (25 + -5m) = 3m + -1(6m + -7) + -7m + 3 Reorder the terms: -33 + 25 + -2m + -5m = 3m + -1(6m + -7) + -7m + 3 Combine like terms: -33 + 25 = -8 -8 + -2m + -5m = 3m + -1(6m + -7) + -7m + 3 Combine like terms: -2m + -5m = -7m -8 + -7m = 3m + -1(6m + -7) + -7m + 3 Reorder the terms: -8 + -7m = 3m + -1(-7 + 6m) + -7m + 3 -8 + -7m = 3m + (-7 * -1 + 6m * -1) + -7m + 3 -8 + -7m = 3m + (7 + -6m) + -7m + 3 Reorder the terms: -8 + -7m = 7 + 3 + 3m + -6m + -7m Combine like terms: 7 + 3 = 10 -8 + -7m = 10 + 3m + -6m + -7m Combine like terms: 3m + -6m = -3m -8 + -7m = 10 + -3m + -7m Combine like terms: -3m + -7m = -10m -8 + -7m = 10 + -10m Solving -8 + -7m = 10 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. -8 + -7m + 10m = 10 + -10m + 10m Combine like terms: -7m + 10m = 3m -8 + 3m = 10 + -10m + 10m Combine like terms: -10m + 10m = 0 -8 + 3m = 10 + 0 -8 + 3m = 10 Add '8' to each side of the equation. -8 + 8 + 3m = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3m = 10 + 8 3m = 10 + 8 Combine like terms: 10 + 8 = 18 3m = 18 Divide each side by '3'. m = 6 Simplifying m = 6
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