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Simplifying -9m + 73 + -2(m + -4) = 5m + -1(4m + -3) + -2m + 8 Reorder the terms: -9m + 73 + -2(-4 + m) = 5m + -1(4m + -3) + -2m + 8 -9m + 73 + (-4 * -2 + m * -2) = 5m + -1(4m + -3) + -2m + 8 -9m + 73 + (8 + -2m) = 5m + -1(4m + -3) + -2m + 8 Reorder the terms: 73 + 8 + -9m + -2m = 5m + -1(4m + -3) + -2m + 8 Combine like terms: 73 + 8 = 81 81 + -9m + -2m = 5m + -1(4m + -3) + -2m + 8 Combine like terms: -9m + -2m = -11m 81 + -11m = 5m + -1(4m + -3) + -2m + 8 Reorder the terms: 81 + -11m = 5m + -1(-3 + 4m) + -2m + 8 81 + -11m = 5m + (-3 * -1 + 4m * -1) + -2m + 8 81 + -11m = 5m + (3 + -4m) + -2m + 8 Reorder the terms: 81 + -11m = 3 + 8 + 5m + -4m + -2m Combine like terms: 3 + 8 = 11 81 + -11m = 11 + 5m + -4m + -2m Combine like terms: 5m + -4m = 1m 81 + -11m = 11 + 1m + -2m Combine like terms: 1m + -2m = -1m 81 + -11m = 11 + -1m Solving 81 + -11m = 11 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 81 + -11m + m = 11 + -1m + m Combine like terms: -11m + m = -10m 81 + -10m = 11 + -1m + m Combine like terms: -1m + m = 0 81 + -10m = 11 + 0 81 + -10m = 11 Add '-81' to each side of the equation. 81 + -81 + -10m = 11 + -81 Combine like terms: 81 + -81 = 0 0 + -10m = 11 + -81 -10m = 11 + -81 Combine like terms: 11 + -81 = -70 -10m = -70 Divide each side by '-10'. m = 7 Simplifying m = 7
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