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Simplifying -5m + 15 + -7(m + -3) = 3m + -1(7m + -4) + -2m + 8 Reorder the terms: -5m + 15 + -7(-3 + m) = 3m + -1(7m + -4) + -2m + 8 -5m + 15 + (-3 * -7 + m * -7) = 3m + -1(7m + -4) + -2m + 8 -5m + 15 + (21 + -7m) = 3m + -1(7m + -4) + -2m + 8 Reorder the terms: 15 + 21 + -5m + -7m = 3m + -1(7m + -4) + -2m + 8 Combine like terms: 15 + 21 = 36 36 + -5m + -7m = 3m + -1(7m + -4) + -2m + 8 Combine like terms: -5m + -7m = -12m 36 + -12m = 3m + -1(7m + -4) + -2m + 8 Reorder the terms: 36 + -12m = 3m + -1(-4 + 7m) + -2m + 8 36 + -12m = 3m + (-4 * -1 + 7m * -1) + -2m + 8 36 + -12m = 3m + (4 + -7m) + -2m + 8 Reorder the terms: 36 + -12m = 4 + 8 + 3m + -7m + -2m Combine like terms: 4 + 8 = 12 36 + -12m = 12 + 3m + -7m + -2m Combine like terms: 3m + -7m = -4m 36 + -12m = 12 + -4m + -2m Combine like terms: -4m + -2m = -6m 36 + -12m = 12 + -6m Solving 36 + -12m = 12 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 36 + -12m + 6m = 12 + -6m + 6m Combine like terms: -12m + 6m = -6m 36 + -6m = 12 + -6m + 6m Combine like terms: -6m + 6m = 0 36 + -6m = 12 + 0 36 + -6m = 12 Add '-36' to each side of the equation. 36 + -36 + -6m = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -6m = 12 + -36 -6m = 12 + -36 Combine like terms: 12 + -36 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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