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Simplifying -5m + 51 + -4(m + -1) = 6m + -1(2m + -4) + -3m + 1 Reorder the terms: -5m + 51 + -4(-1 + m) = 6m + -1(2m + -4) + -3m + 1 -5m + 51 + (-1 * -4 + m * -4) = 6m + -1(2m + -4) + -3m + 1 -5m + 51 + (4 + -4m) = 6m + -1(2m + -4) + -3m + 1 Reorder the terms: 51 + 4 + -5m + -4m = 6m + -1(2m + -4) + -3m + 1 Combine like terms: 51 + 4 = 55 55 + -5m + -4m = 6m + -1(2m + -4) + -3m + 1 Combine like terms: -5m + -4m = -9m 55 + -9m = 6m + -1(2m + -4) + -3m + 1 Reorder the terms: 55 + -9m = 6m + -1(-4 + 2m) + -3m + 1 55 + -9m = 6m + (-4 * -1 + 2m * -1) + -3m + 1 55 + -9m = 6m + (4 + -2m) + -3m + 1 Reorder the terms: 55 + -9m = 4 + 1 + 6m + -2m + -3m Combine like terms: 4 + 1 = 5 55 + -9m = 5 + 6m + -2m + -3m Combine like terms: 6m + -2m = 4m 55 + -9m = 5 + 4m + -3m Combine like terms: 4m + -3m = 1m 55 + -9m = 5 + 1m Solving 55 + -9m = 5 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 55 + -9m + -1m = 5 + 1m + -1m Combine like terms: -9m + -1m = -10m 55 + -10m = 5 + 1m + -1m Combine like terms: 1m + -1m = 0 55 + -10m = 5 + 0 55 + -10m = 5 Add '-55' to each side of the equation. 55 + -55 + -10m = 5 + -55 Combine like terms: 55 + -55 = 0 0 + -10m = 5 + -55 -10m = 5 + -55 Combine like terms: 5 + -55 = -50 -10m = -50 Divide each side by '-10'. m = 5 Simplifying m = 5
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