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Simplifying 2m + 8 + 6M = 14 + 8m Reorder the terms: 8 + 6M + 2m = 14 + 8m Solving 8 + 6M + 2m = 14 + 8m Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 6M + -8 + 2m = 14 + -8 + 8m Reorder the terms: 8 + -8 + 6M + 2m = 14 + -8 + 8m Combine like terms: 8 + -8 = 0 0 + 6M + 2m = 14 + -8 + 8m 6M + 2m = 14 + -8 + 8m Combine like terms: 14 + -8 = 6 6M + 2m = 6 + 8m Add '-2m' to each side of the equation. 6M + 2m + -2m = 6 + 8m + -2m Combine like terms: 2m + -2m = 0 6M + 0 = 6 + 8m + -2m 6M = 6 + 8m + -2m Combine like terms: 8m + -2m = 6m 6M = 6 + 6m Divide each side by '6'. M = 1 + m Simplifying M = 1 + m
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