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Simplifying 4m + 9 + m + 3 = 2m + -1m + 9 + m + 9 Reorder the terms: 9 + 3 + 4m + m = 2m + -1m + 9 + m + 9 Combine like terms: 9 + 3 = 12 12 + 4m + m = 2m + -1m + 9 + m + 9 Combine like terms: 4m + m = 5m 12 + 5m = 2m + -1m + 9 + m + 9 Reorder the terms: 12 + 5m = 9 + 9 + 2m + -1m + m Combine like terms: 9 + 9 = 18 12 + 5m = 18 + 2m + -1m + m Combine like terms: 2m + -1m = 1m 12 + 5m = 18 + 1m + m Combine like terms: 1m + m = 2m 12 + 5m = 18 + 2m Solving 12 + 5m = 18 + 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. 12 + 5m + -2m = 18 + 2m + -2m Combine like terms: 5m + -2m = 3m 12 + 3m = 18 + 2m + -2m Combine like terms: 2m + -2m = 0 12 + 3m = 18 + 0 12 + 3m = 18 Add '-12' to each side of the equation. 12 + -12 + 3m = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 3m = 18 + -12 3m = 18 + -12 Combine like terms: 18 + -12 = 6 3m = 6 Divide each side by '3'. m = 2 Simplifying m = 2
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