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Simplifying 4m + 18 + 4m = 20m + -42 + -2m Reorder the terms: 18 + 4m + 4m = 20m + -42 + -2m Combine like terms: 4m + 4m = 8m 18 + 8m = 20m + -42 + -2m Reorder the terms: 18 + 8m = -42 + 20m + -2m Combine like terms: 20m + -2m = 18m 18 + 8m = -42 + 18m Solving 18 + 8m = -42 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 18 + 8m + -18m = -42 + 18m + -18m Combine like terms: 8m + -18m = -10m 18 + -10m = -42 + 18m + -18m Combine like terms: 18m + -18m = 0 18 + -10m = -42 + 0 18 + -10m = -42 Add '-18' to each side of the equation. 18 + -18 + -10m = -42 + -18 Combine like terms: 18 + -18 = 0 0 + -10m = -42 + -18 -10m = -42 + -18 Combine like terms: -42 + -18 = -60 -10m = -60 Divide each side by '-10'. m = 6 Simplifying m = 6
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