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Simplifying 4(n + -4) + 2 = 3(n + 1) Reorder the terms: 4(-4 + n) + 2 = 3(n + 1) (-4 * 4 + n * 4) + 2 = 3(n + 1) (-16 + 4n) + 2 = 3(n + 1) Reorder the terms: -16 + 2 + 4n = 3(n + 1) Combine like terms: -16 + 2 = -14 -14 + 4n = 3(n + 1) Reorder the terms: -14 + 4n = 3(1 + n) -14 + 4n = (1 * 3 + n * 3) -14 + 4n = (3 + 3n) Solving -14 + 4n = 3 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -14 + 4n + -3n = 3 + 3n + -3n Combine like terms: 4n + -3n = 1n -14 + 1n = 3 + 3n + -3n Combine like terms: 3n + -3n = 0 -14 + 1n = 3 + 0 -14 + 1n = 3 Add '14' to each side of the equation. -14 + 14 + 1n = 3 + 14 Combine like terms: -14 + 14 = 0 0 + 1n = 3 + 14 1n = 3 + 14 Combine like terms: 3 + 14 = 17 1n = 17 Divide each side by '1'. n = 17 Simplifying n = 17
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