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Simplifying 3m + 7 = 8m + -3 Reorder the terms: 7 + 3m = 8m + -3 Reorder the terms: 7 + 3m = -3 + 8m Solving 7 + 3m = -3 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 7 + 3m + -8m = -3 + 8m + -8m Combine like terms: 3m + -8m = -5m 7 + -5m = -3 + 8m + -8m Combine like terms: 8m + -8m = 0 7 + -5m = -3 + 0 7 + -5m = -3 Add '-7' to each side of the equation. 7 + -7 + -5m = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -5m = -3 + -7 -5m = -3 + -7 Combine like terms: -3 + -7 = -10 -5m = -10 Divide each side by '-5'. m = 2 Simplifying m = 2
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