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Simplifying 3m + 2 = 7m + 38 Reorder the terms: 2 + 3m = 7m + 38 Reorder the terms: 2 + 3m = 38 + 7m Solving 2 + 3m = 38 + 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. 2 + 3m + -7m = 38 + 7m + -7m Combine like terms: 3m + -7m = -4m 2 + -4m = 38 + 7m + -7m Combine like terms: 7m + -7m = 0 2 + -4m = 38 + 0 2 + -4m = 38 Add '-2' to each side of the equation. 2 + -2 + -4m = 38 + -2 Combine like terms: 2 + -2 = 0 0 + -4m = 38 + -2 -4m = 38 + -2 Combine like terms: 38 + -2 = 36 -4m = 36 Divide each side by '-4'. m = -9 Simplifying m = -9
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