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Simplifying m + 38 = 86 + -3m Reorder the terms: 38 + m = 86 + -3m Solving 38 + m = 86 + -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 + m + 3m = 86 + -3m + 3m Combine like terms: m + 3m = 4m 38 + 4m = 86 + -3m + 3m Combine like terms: -3m + 3m = 0 38 + 4m = 86 + 0 38 + 4m = 86 Add '-38' to each side of the equation. 38 + -38 + 4m = 86 + -38 Combine like terms: 38 + -38 = 0 0 + 4m = 86 + -38 4m = 86 + -38 Combine like terms: 86 + -38 = 48 4m = 48 Divide each side by '4'. m = 12 Simplifying m = 12
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