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Simplifying 3m + 42 = 7m + 10 Reorder the terms: 42 + 3m = 7m + 10 Reorder the terms: 42 + 3m = 10 + 7m Solving 42 + 3m = 10 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 42 + 3m + -7m = 10 + 7m + -7m Combine like terms: 3m + -7m = -4m 42 + -4m = 10 + 7m + -7m Combine like terms: 7m + -7m = 0 42 + -4m = 10 + 0 42 + -4m = 10 Add '-42' to each side of the equation. 42 + -42 + -4m = 10 + -42 Combine like terms: 42 + -42 = 0 0 + -4m = 10 + -42 -4m = 10 + -42 Combine like terms: 10 + -42 = -32 -4m = -32 Divide each side by '-4'. m = 8 Simplifying m = 8
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