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Simplifying 3n + 4 = 5(n + 2) + -3n Reorder the terms: 4 + 3n = 5(n + 2) + -3n Reorder the terms: 4 + 3n = 5(2 + n) + -3n 4 + 3n = (2 * 5 + n * 5) + -3n 4 + 3n = (10 + 5n) + -3n Combine like terms: 5n + -3n = 2n 4 + 3n = 10 + 2n Solving 4 + 3n = 10 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 4 + 3n + -2n = 10 + 2n + -2n Combine like terms: 3n + -2n = 1n 4 + 1n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + 1n = 10 + 0 4 + 1n = 10 Add '-4' to each side of the equation. 4 + -4 + 1n = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1n = 10 + -4 1n = 10 + -4 Combine like terms: 10 + -4 = 6 1n = 6 Divide each side by '1'. n = 6 Simplifying n = 6
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