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Simplifying m + 8 = 4 + m + 2m + 12 Reorder the terms: 8 + m = 4 + m + 2m + 12 Reorder the terms: 8 + m = 4 + 12 + m + 2m Combine like terms: 4 + 12 = 16 8 + m = 16 + m + 2m Combine like terms: m + 2m = 3m 8 + m = 16 + 3m Solving 8 + m = 16 + 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. 8 + m + -3m = 16 + 3m + -3m Combine like terms: m + -3m = -2m 8 + -2m = 16 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + -2m = 16 + 0 8 + -2m = 16 Add '-8' to each side of the equation. 8 + -8 + -2m = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -2m = 16 + -8 -2m = 16 + -8 Combine like terms: 16 + -8 = 8 -2m = 8 Divide each side by '-2'. m = -4 Simplifying m = -4
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