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Simplifying 18 + -2(3m + -1) = 6 + 2(m + 3) Reorder the terms: 18 + -2(-1 + 3m) = 6 + 2(m + 3) 18 + (-1 * -2 + 3m * -2) = 6 + 2(m + 3) 18 + (2 + -6m) = 6 + 2(m + 3) Combine like terms: 18 + 2 = 20 20 + -6m = 6 + 2(m + 3) Reorder the terms: 20 + -6m = 6 + 2(3 + m) 20 + -6m = 6 + (3 * 2 + m * 2) 20 + -6m = 6 + (6 + 2m) Combine like terms: 6 + 6 = 12 20 + -6m = 12 + 2m Solving 20 + -6m = 12 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 20 + -6m + -2m = 12 + 2m + -2m Combine like terms: -6m + -2m = -8m 20 + -8m = 12 + 2m + -2m Combine like terms: 2m + -2m = 0 20 + -8m = 12 + 0 20 + -8m = 12 Add '-20' to each side of the equation. 20 + -20 + -8m = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -8m = 12 + -20 -8m = 12 + -20 Combine like terms: 12 + -20 = -8 -8m = -8 Divide each side by '-8'. m = 1 Simplifying m = 1
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