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Simplifying m + 6 = 3m + 14 Reorder the terms: 6 + m = 3m + 14 Reorder the terms: 6 + m = 14 + 3m Solving 6 + m = 14 + 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. 6 + m + -3m = 14 + 3m + -3m Combine like terms: m + -3m = -2m 6 + -2m = 14 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + -2m = 14 + 0 6 + -2m = 14 Add '-6' to each side of the equation. 6 + -6 + -2m = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -2m = 14 + -6 -2m = 14 + -6 Combine like terms: 14 + -6 = 8 -2m = 8 Divide each side by '-2'. m = -4 Simplifying m = -4
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