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Simplifying -8m + 19 + -2(m + -1) = 7m + -1(2m + -5) + -9m + 4 Reorder the terms: -8m + 19 + -2(-1 + m) = 7m + -1(2m + -5) + -9m + 4 -8m + 19 + (-1 * -2 + m * -2) = 7m + -1(2m + -5) + -9m + 4 -8m + 19 + (2 + -2m) = 7m + -1(2m + -5) + -9m + 4 Reorder the terms: 19 + 2 + -8m + -2m = 7m + -1(2m + -5) + -9m + 4 Combine like terms: 19 + 2 = 21 21 + -8m + -2m = 7m + -1(2m + -5) + -9m + 4 Combine like terms: -8m + -2m = -10m 21 + -10m = 7m + -1(2m + -5) + -9m + 4 Reorder the terms: 21 + -10m = 7m + -1(-5 + 2m) + -9m + 4 21 + -10m = 7m + (-5 * -1 + 2m * -1) + -9m + 4 21 + -10m = 7m + (5 + -2m) + -9m + 4 Reorder the terms: 21 + -10m = 5 + 4 + 7m + -2m + -9m Combine like terms: 5 + 4 = 9 21 + -10m = 9 + 7m + -2m + -9m Combine like terms: 7m + -2m = 5m 21 + -10m = 9 + 5m + -9m Combine like terms: 5m + -9m = -4m 21 + -10m = 9 + -4m Solving 21 + -10m = 9 + -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. 21 + -10m + 4m = 9 + -4m + 4m Combine like terms: -10m + 4m = -6m 21 + -6m = 9 + -4m + 4m Combine like terms: -4m + 4m = 0 21 + -6m = 9 + 0 21 + -6m = 9 Add '-21' to each side of the equation. 21 + -21 + -6m = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -6m = 9 + -21 -6m = 9 + -21 Combine like terms: 9 + -21 = -12 -6m = -12 Divide each side by '-6'. m = 2 Simplifying m = 2
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