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Simplifying -9m + 54 + -6(m + -4) = 5m + -1(2m + -7) + -7m + 5 Reorder the terms: -9m + 54 + -6(-4 + m) = 5m + -1(2m + -7) + -7m + 5 -9m + 54 + (-4 * -6 + m * -6) = 5m + -1(2m + -7) + -7m + 5 -9m + 54 + (24 + -6m) = 5m + -1(2m + -7) + -7m + 5 Reorder the terms: 54 + 24 + -9m + -6m = 5m + -1(2m + -7) + -7m + 5 Combine like terms: 54 + 24 = 78 78 + -9m + -6m = 5m + -1(2m + -7) + -7m + 5 Combine like terms: -9m + -6m = -15m 78 + -15m = 5m + -1(2m + -7) + -7m + 5 Reorder the terms: 78 + -15m = 5m + -1(-7 + 2m) + -7m + 5 78 + -15m = 5m + (-7 * -1 + 2m * -1) + -7m + 5 78 + -15m = 5m + (7 + -2m) + -7m + 5 Reorder the terms: 78 + -15m = 7 + 5 + 5m + -2m + -7m Combine like terms: 7 + 5 = 12 78 + -15m = 12 + 5m + -2m + -7m Combine like terms: 5m + -2m = 3m 78 + -15m = 12 + 3m + -7m Combine like terms: 3m + -7m = -4m 78 + -15m = 12 + -4m Solving 78 + -15m = 12 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 78 + -15m + 4m = 12 + -4m + 4m Combine like terms: -15m + 4m = -11m 78 + -11m = 12 + -4m + 4m Combine like terms: -4m + 4m = 0 78 + -11m = 12 + 0 78 + -11m = 12 Add '-78' to each side of the equation. 78 + -78 + -11m = 12 + -78 Combine like terms: 78 + -78 = 0 0 + -11m = 12 + -78 -11m = 12 + -78 Combine like terms: 12 + -78 = -66 -11m = -66 Divide each side by '-11'. m = 6 Simplifying m = 6
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