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Simplifying 5m + 7 = 8m + -5 Reorder the terms: 7 + 5m = 8m + -5 Reorder the terms: 7 + 5m = -5 + 8m Solving 7 + 5m = -5 + 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 + 5m + -8m = -5 + 8m + -8m Combine like terms: 5m + -8m = -3m 7 + -3m = -5 + 8m + -8m Combine like terms: 8m + -8m = 0 7 + -3m = -5 + 0 7 + -3m = -5 Add '-7' to each side of the equation. 7 + -7 + -3m = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = -5 + -7 -3m = -5 + -7 Combine like terms: -5 + -7 = -12 -3m = -12 Divide each side by '-3'. m = 4 Simplifying m = 4
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