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Simplifying 42m + -9 = 35m + 12 Reorder the terms: -9 + 42m = 35m + 12 Reorder the terms: -9 + 42m = 12 + 35m Solving -9 + 42m = 12 + 35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35m' to each side of the equation. -9 + 42m + -35m = 12 + 35m + -35m Combine like terms: 42m + -35m = 7m -9 + 7m = 12 + 35m + -35m Combine like terms: 35m + -35m = 0 -9 + 7m = 12 + 0 -9 + 7m = 12 Add '9' to each side of the equation. -9 + 9 + 7m = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 7m = 12 + 9 7m = 12 + 9 Combine like terms: 12 + 9 = 21 7m = 21 Divide each side by '7'. m = 3 Simplifying m = 3
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