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Simplifying -6m + 33 + -7(m + -1) = 4m + -1(2m + -7) + -7m + 9 Reorder the terms: -6m + 33 + -7(-1 + m) = 4m + -1(2m + -7) + -7m + 9 -6m + 33 + (-1 * -7 + m * -7) = 4m + -1(2m + -7) + -7m + 9 -6m + 33 + (7 + -7m) = 4m + -1(2m + -7) + -7m + 9 Reorder the terms: 33 + 7 + -6m + -7m = 4m + -1(2m + -7) + -7m + 9 Combine like terms: 33 + 7 = 40 40 + -6m + -7m = 4m + -1(2m + -7) + -7m + 9 Combine like terms: -6m + -7m = -13m 40 + -13m = 4m + -1(2m + -7) + -7m + 9 Reorder the terms: 40 + -13m = 4m + -1(-7 + 2m) + -7m + 9 40 + -13m = 4m + (-7 * -1 + 2m * -1) + -7m + 9 40 + -13m = 4m + (7 + -2m) + -7m + 9 Reorder the terms: 40 + -13m = 7 + 9 + 4m + -2m + -7m Combine like terms: 7 + 9 = 16 40 + -13m = 16 + 4m + -2m + -7m Combine like terms: 4m + -2m = 2m 40 + -13m = 16 + 2m + -7m Combine like terms: 2m + -7m = -5m 40 + -13m = 16 + -5m Solving 40 + -13m = 16 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 40 + -13m + 5m = 16 + -5m + 5m Combine like terms: -13m + 5m = -8m 40 + -8m = 16 + -5m + 5m Combine like terms: -5m + 5m = 0 40 + -8m = 16 + 0 40 + -8m = 16 Add '-40' to each side of the equation. 40 + -40 + -8m = 16 + -40 Combine like terms: 40 + -40 = 0 0 + -8m = 16 + -40 -8m = 16 + -40 Combine like terms: 16 + -40 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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