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Simplifying 38m + 45 = 41m + -42 Reorder the terms: 45 + 38m = 41m + -42 Reorder the terms: 45 + 38m = -42 + 41m Solving 45 + 38m = -42 + 41m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-41m' to each side of the equation. 45 + 38m + -41m = -42 + 41m + -41m Combine like terms: 38m + -41m = -3m 45 + -3m = -42 + 41m + -41m Combine like terms: 41m + -41m = 0 45 + -3m = -42 + 0 45 + -3m = -42 Add '-45' to each side of the equation. 45 + -45 + -3m = -42 + -45 Combine like terms: 45 + -45 = 0 0 + -3m = -42 + -45 -3m = -42 + -45 Combine like terms: -42 + -45 = -87 -3m = -87 Divide each side by '-3'. m = 29 Simplifying m = 29
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