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Simplifying m + -6 = 9 + -5m + 3m Reorder the terms: -6 + m = 9 + -5m + 3m Combine like terms: -5m + 3m = -2m -6 + m = 9 + -2m Solving -6 + m = 9 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -6 + m + 2m = 9 + -2m + 2m Combine like terms: m + 2m = 3m -6 + 3m = 9 + -2m + 2m Combine like terms: -2m + 2m = 0 -6 + 3m = 9 + 0 -6 + 3m = 9 Add '6' to each side of the equation. -6 + 6 + 3m = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3m = 9 + 6 3m = 9 + 6 Combine like terms: 9 + 6 = 15 3m = 15 Divide each side by '3'. m = 5 Simplifying m = 5
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