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Simplifying 3n + 4 = (3n + 7) + -1(3n + 4) Reorder the terms: 4 + 3n = (3n + 7) + -1(3n + 4) Reorder the terms: 4 + 3n = (7 + 3n) + -1(3n + 4) Remove parenthesis around (7 + 3n) 4 + 3n = 7 + 3n + -1(3n + 4) Reorder the terms: 4 + 3n = 7 + 3n + -1(4 + 3n) 4 + 3n = 7 + 3n + (4 * -1 + 3n * -1) 4 + 3n = 7 + 3n + (-4 + -3n) Reorder the terms: 4 + 3n = 7 + -4 + 3n + -3n Combine like terms: 7 + -4 = 3 4 + 3n = 3 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + 3n = 3 + 0 4 + 3n = 3 Solving 4 + 3n = 3 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3n = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 3n = 3 + -4 3n = 3 + -4 Combine like terms: 3 + -4 = -1 3n = -1 Divide each side by '3'. n = -0.3333333333 Simplifying n = -0.3333333333
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