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Simplifying -3n + -1(n + 8) = 2n + 16 Reorder the terms: -3n + -1(8 + n) = 2n + 16 -3n + (8 * -1 + n * -1) = 2n + 16 -3n + (-8 + -1n) = 2n + 16 Reorder the terms: -8 + -3n + -1n = 2n + 16 Combine like terms: -3n + -1n = -4n -8 + -4n = 2n + 16 Reorder the terms: -8 + -4n = 16 + 2n Solving -8 + -4n = 16 + 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. -8 + -4n + -2n = 16 + 2n + -2n Combine like terms: -4n + -2n = -6n -8 + -6n = 16 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + -6n = 16 + 0 -8 + -6n = 16 Add '8' to each side of the equation. -8 + 8 + -6n = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -6n = 16 + 8 -6n = 16 + 8 Combine like terms: 16 + 8 = 24 -6n = 24 Divide each side by '-6'. n = -4 Simplifying n = -4
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