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Simplifying 5m + 2 = 8m + -3 Reorder the terms: 2 + 5m = 8m + -3 Reorder the terms: 2 + 5m = -3 + 8m Solving 2 + 5m = -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. 2 + 5m + -8m = -3 + 8m + -8m Combine like terms: 5m + -8m = -3m 2 + -3m = -3 + 8m + -8m Combine like terms: 8m + -8m = 0 2 + -3m = -3 + 0 2 + -3m = -3 Add '-2' to each side of the equation. 2 + -2 + -3m = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = -3 + -2 -3m = -3 + -2 Combine like terms: -3 + -2 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667
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