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Simplifying 3m + -5 + 2m = 7m + -24 + 5 Reorder the terms: -5 + 3m + 2m = 7m + -24 + 5 Combine like terms: 3m + 2m = 5m -5 + 5m = 7m + -24 + 5 Reorder the terms: -5 + 5m = -24 + 5 + 7m Combine like terms: -24 + 5 = -19 -5 + 5m = -19 + 7m Solving -5 + 5m = -19 + 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. -5 + 5m + -7m = -19 + 7m + -7m Combine like terms: 5m + -7m = -2m -5 + -2m = -19 + 7m + -7m Combine like terms: 7m + -7m = 0 -5 + -2m = -19 + 0 -5 + -2m = -19 Add '5' to each side of the equation. -5 + 5 + -2m = -19 + 5 Combine like terms: -5 + 5 = 0 0 + -2m = -19 + 5 -2m = -19 + 5 Combine like terms: -19 + 5 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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