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Simplifying -5 + -2(n + 4) = 17 + 4n Reorder the terms: -5 + -2(4 + n) = 17 + 4n -5 + (4 * -2 + n * -2) = 17 + 4n -5 + (-8 + -2n) = 17 + 4n Combine like terms: -5 + -8 = -13 -13 + -2n = 17 + 4n Solving -13 + -2n = 17 + 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. -13 + -2n + -4n = 17 + 4n + -4n Combine like terms: -2n + -4n = -6n -13 + -6n = 17 + 4n + -4n Combine like terms: 4n + -4n = 0 -13 + -6n = 17 + 0 -13 + -6n = 17 Add '13' to each side of the equation. -13 + 13 + -6n = 17 + 13 Combine like terms: -13 + 13 = 0 0 + -6n = 17 + 13 -6n = 17 + 13 Combine like terms: 17 + 13 = 30 -6n = 30 Divide each side by '-6'. n = -5 Simplifying n = -5
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