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Simplifying 40m + 40 = 42m + -42 Reorder the terms: 40 + 40m = 42m + -42 Reorder the terms: 40 + 40m = -42 + 42m Solving 40 + 40m = -42 + 42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42m' to each side of the equation. 40 + 40m + -42m = -42 + 42m + -42m Combine like terms: 40m + -42m = -2m 40 + -2m = -42 + 42m + -42m Combine like terms: 42m + -42m = 0 40 + -2m = -42 + 0 40 + -2m = -42 Add '-40' to each side of the equation. 40 + -40 + -2m = -42 + -40 Combine like terms: 40 + -40 = 0 0 + -2m = -42 + -40 -2m = -42 + -40 Combine like terms: -42 + -40 = -82 -2m = -82 Divide each side by '-2'. m = 41 Simplifying m = 41
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