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Simplifying -5n + -3(7 + 4n) = -6n + -32 -5n + (7 * -3 + 4n * -3) = -6n + -32 -5n + (-21 + -12n) = -6n + -32 Reorder the terms: -21 + -5n + -12n = -6n + -32 Combine like terms: -5n + -12n = -17n -21 + -17n = -6n + -32 Reorder the terms: -21 + -17n = -32 + -6n Solving -21 + -17n = -32 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -21 + -17n + 6n = -32 + -6n + 6n Combine like terms: -17n + 6n = -11n -21 + -11n = -32 + -6n + 6n Combine like terms: -6n + 6n = 0 -21 + -11n = -32 + 0 -21 + -11n = -32 Add '21' to each side of the equation. -21 + 21 + -11n = -32 + 21 Combine like terms: -21 + 21 = 0 0 + -11n = -32 + 21 -11n = -32 + 21 Combine like terms: -32 + 21 = -11 -11n = -11 Divide each side by '-11'. n = 1 Simplifying n = 1
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