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Simplifying -3(n + 5) + (4n + 2) = 8 Reorder the terms: -3(5 + n) + (4n + 2) = 8 (5 * -3 + n * -3) + (4n + 2) = 8 (-15 + -3n) + (4n + 2) = 8 Reorder the terms: -15 + -3n + (2 + 4n) = 8 Remove parenthesis around (2 + 4n) -15 + -3n + 2 + 4n = 8 Reorder the terms: -15 + 2 + -3n + 4n = 8 Combine like terms: -15 + 2 = -13 -13 + -3n + 4n = 8 Combine like terms: -3n + 4n = 1n -13 + 1n = 8 Solving -13 + 1n = 8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1n = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 1n = 8 + 13 1n = 8 + 13 Combine like terms: 8 + 13 = 21 1n = 21 Divide each side by '1'. n = 21 Simplifying n = 21
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