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