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Simplifying 5m + 3m + -12 = 6 + 4m + 2 Reorder the terms: -12 + 5m + 3m = 6 + 4m + 2 Combine like terms: 5m + 3m = 8m -12 + 8m = 6 + 4m + 2 Reorder the terms: -12 + 8m = 6 + 2 + 4m Combine like terms: 6 + 2 = 8 -12 + 8m = 8 + 4m Solving -12 + 8m = 8 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -12 + 8m + -4m = 8 + 4m + -4m Combine like terms: 8m + -4m = 4m -12 + 4m = 8 + 4m + -4m Combine like terms: 4m + -4m = 0 -12 + 4m = 8 + 0 -12 + 4m = 8 Add '12' to each side of the equation. -12 + 12 + 4m = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4m = 8 + 12 4m = 8 + 12 Combine like terms: 8 + 12 = 20 4m = 20 Divide each side by '4'. m = 5 Simplifying m = 5
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