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Simplifying -8m + 19 + -4(m + -1) = 2m + -1(4m + -6) + -5m + 7 Reorder the terms: -8m + 19 + -4(-1 + m) = 2m + -1(4m + -6) + -5m + 7 -8m + 19 + (-1 * -4 + m * -4) = 2m + -1(4m + -6) + -5m + 7 -8m + 19 + (4 + -4m) = 2m + -1(4m + -6) + -5m + 7 Reorder the terms: 19 + 4 + -8m + -4m = 2m + -1(4m + -6) + -5m + 7 Combine like terms: 19 + 4 = 23 23 + -8m + -4m = 2m + -1(4m + -6) + -5m + 7 Combine like terms: -8m + -4m = -12m 23 + -12m = 2m + -1(4m + -6) + -5m + 7 Reorder the terms: 23 + -12m = 2m + -1(-6 + 4m) + -5m + 7 23 + -12m = 2m + (-6 * -1 + 4m * -1) + -5m + 7 23 + -12m = 2m + (6 + -4m) + -5m + 7 Reorder the terms: 23 + -12m = 6 + 7 + 2m + -4m + -5m Combine like terms: 6 + 7 = 13 23 + -12m = 13 + 2m + -4m + -5m Combine like terms: 2m + -4m = -2m 23 + -12m = 13 + -2m + -5m Combine like terms: -2m + -5m = -7m 23 + -12m = 13 + -7m Solving 23 + -12m = 13 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 23 + -12m + 7m = 13 + -7m + 7m Combine like terms: -12m + 7m = -5m 23 + -5m = 13 + -7m + 7m Combine like terms: -7m + 7m = 0 23 + -5m = 13 + 0 23 + -5m = 13 Add '-23' to each side of the equation. 23 + -23 + -5m = 13 + -23 Combine like terms: 23 + -23 = 0 0 + -5m = 13 + -23 -5m = 13 + -23 Combine like terms: 13 + -23 = -10 -5m = -10 Divide each side by '-5'. m = 2 Simplifying m = 2
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