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Simplifying 2 + -6m + 2(3 + -1m) = 5(m + -3) + -3 2 + -6m + (3 * 2 + -1m * 2) = 5(m + -3) + -3 2 + -6m + (6 + -2m) = 5(m + -3) + -3 Reorder the terms: 2 + 6 + -6m + -2m = 5(m + -3) + -3 Combine like terms: 2 + 6 = 8 8 + -6m + -2m = 5(m + -3) + -3 Combine like terms: -6m + -2m = -8m 8 + -8m = 5(m + -3) + -3 Reorder the terms: 8 + -8m = 5(-3 + m) + -3 8 + -8m = (-3 * 5 + m * 5) + -3 8 + -8m = (-15 + 5m) + -3 Reorder the terms: 8 + -8m = -15 + -3 + 5m Combine like terms: -15 + -3 = -18 8 + -8m = -18 + 5m Solving 8 + -8m = -18 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 8 + -8m + -5m = -18 + 5m + -5m Combine like terms: -8m + -5m = -13m 8 + -13m = -18 + 5m + -5m Combine like terms: 5m + -5m = 0 8 + -13m = -18 + 0 8 + -13m = -18 Add '-8' to each side of the equation. 8 + -8 + -13m = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -13m = -18 + -8 -13m = -18 + -8 Combine like terms: -18 + -8 = -26 -13m = -26 Divide each side by '-13'. m = 2 Simplifying m = 2
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