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Simplifying 6m + 3 = (2m + 5) + 7 Reorder the terms: 3 + 6m = (2m + 5) + 7 Reorder the terms: 3 + 6m = (5 + 2m) + 7 Remove parenthesis around (5 + 2m) 3 + 6m = 5 + 2m + 7 Reorder the terms: 3 + 6m = 5 + 7 + 2m Combine like terms: 5 + 7 = 12 3 + 6m = 12 + 2m Solving 3 + 6m = 12 + 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. 3 + 6m + -2m = 12 + 2m + -2m Combine like terms: 6m + -2m = 4m 3 + 4m = 12 + 2m + -2m Combine like terms: 2m + -2m = 0 3 + 4m = 12 + 0 3 + 4m = 12 Add '-3' to each side of the equation. 3 + -3 + 4m = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 4m = 12 + -3 4m = 12 + -3 Combine like terms: 12 + -3 = 9 4m = 9 Divide each side by '4'. m = 2.25 Simplifying m = 2.25
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