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Simplifying 3m + 23 = 7m + -5 Reorder the terms: 23 + 3m = 7m + -5 Reorder the terms: 23 + 3m = -5 + 7m Solving 23 + 3m = -5 + 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. 23 + 3m + -7m = -5 + 7m + -7m Combine like terms: 3m + -7m = -4m 23 + -4m = -5 + 7m + -7m Combine like terms: 7m + -7m = 0 23 + -4m = -5 + 0 23 + -4m = -5 Add '-23' to each side of the equation. 23 + -23 + -4m = -5 + -23 Combine like terms: 23 + -23 = 0 0 + -4m = -5 + -23 -4m = -5 + -23 Combine like terms: -5 + -23 = -28 -4m = -28 Divide each side by '-4'. m = 7 Simplifying m = 7
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