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Simplifying 3n + 4 = 5(n + 2) Reorder the terms: 4 + 3n = 5(n + 2) Reorder the terms: 4 + 3n = 5(2 + n) 4 + 3n = (2 * 5 + n * 5) 4 + 3n = (10 + 5n) Solving 4 + 3n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 4 + 3n + -5n = 10 + 5n + -5n Combine like terms: 3n + -5n = -2n 4 + -2n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 4 + -2n = 10 + 0 4 + -2n = 10 Add '-4' to each side of the equation. 4 + -4 + -2n = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -2n = 10 + -4 -2n = 10 + -4 Combine like terms: 10 + -4 = 6 -2n = 6 Divide each side by '-2'. n = -3 Simplifying n = -3
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