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Simplifying -6m + 2 + -6(m + -3) = 3m + -8m + -3 + -5m + 5 Reorder the terms: -6m + 2 + -6(-3 + m) = 3m + -8m + -3 + -5m + 5 -6m + 2 + (-3 * -6 + m * -6) = 3m + -8m + -3 + -5m + 5 -6m + 2 + (18 + -6m) = 3m + -8m + -3 + -5m + 5 Reorder the terms: 2 + 18 + -6m + -6m = 3m + -8m + -3 + -5m + 5 Combine like terms: 2 + 18 = 20 20 + -6m + -6m = 3m + -8m + -3 + -5m + 5 Combine like terms: -6m + -6m = -12m 20 + -12m = 3m + -8m + -3 + -5m + 5 Reorder the terms: 20 + -12m = -3 + 5 + 3m + -8m + -5m Combine like terms: -3 + 5 = 2 20 + -12m = 2 + 3m + -8m + -5m Combine like terms: 3m + -8m = -5m 20 + -12m = 2 + -5m + -5m Combine like terms: -5m + -5m = -10m 20 + -12m = 2 + -10m Solving 20 + -12m = 2 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 20 + -12m + 10m = 2 + -10m + 10m Combine like terms: -12m + 10m = -2m 20 + -2m = 2 + -10m + 10m Combine like terms: -10m + 10m = 0 20 + -2m = 2 + 0 20 + -2m = 2 Add '-20' to each side of the equation. 20 + -20 + -2m = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -2m = 2 + -20 -2m = 2 + -20 Combine like terms: 2 + -20 = -18 -2m = -18 Divide each side by '-2'. m = 9 Simplifying m = 9
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