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Simplifying 3(n + 1) + -2 = 4(2m + 3) Reorder the terms: 3(1 + n) + -2 = 4(2m + 3) (1 * 3 + n * 3) + -2 = 4(2m + 3) (3 + 3n) + -2 = 4(2m + 3) Reorder the terms: 3 + -2 + 3n = 4(2m + 3) Combine like terms: 3 + -2 = 1 1 + 3n = 4(2m + 3) Reorder the terms: 1 + 3n = 4(3 + 2m) 1 + 3n = (3 * 4 + 2m * 4) 1 + 3n = (12 + 8m) Solving 1 + 3n = 12 + 8m Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3n = 12 + -1 + 8m Combine like terms: 1 + -1 = 0 0 + 3n = 12 + -1 + 8m 3n = 12 + -1 + 8m Combine like terms: 12 + -1 = 11 3n = 11 + 8m Divide each side by '3'. n = 3.666666667 + 2.666666667m Simplifying n = 3.666666667 + 2.666666667m
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