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Simplifying 8m + -38 = 3m + 2 Reorder the terms: -38 + 8m = 3m + 2 Reorder the terms: -38 + 8m = 2 + 3m Solving -38 + 8m = 2 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -38 + 8m + -3m = 2 + 3m + -3m Combine like terms: 8m + -3m = 5m -38 + 5m = 2 + 3m + -3m Combine like terms: 3m + -3m = 0 -38 + 5m = 2 + 0 -38 + 5m = 2 Add '38' to each side of the equation. -38 + 38 + 5m = 2 + 38 Combine like terms: -38 + 38 = 0 0 + 5m = 2 + 38 5m = 2 + 38 Combine like terms: 2 + 38 = 40 5m = 40 Divide each side by '5'. m = 8 Simplifying m = 8
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