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Simplifying -7(n + -2) + -3 = 35 + -4n Reorder the terms: -7(-2 + n) + -3 = 35 + -4n (-2 * -7 + n * -7) + -3 = 35 + -4n (14 + -7n) + -3 = 35 + -4n Reorder the terms: 14 + -3 + -7n = 35 + -4n Combine like terms: 14 + -3 = 11 11 + -7n = 35 + -4n Solving 11 + -7n = 35 + -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. 11 + -7n + 4n = 35 + -4n + 4n Combine like terms: -7n + 4n = -3n 11 + -3n = 35 + -4n + 4n Combine like terms: -4n + 4n = 0 11 + -3n = 35 + 0 11 + -3n = 35 Add '-11' to each side of the equation. 11 + -11 + -3n = 35 + -11 Combine like terms: 11 + -11 = 0 0 + -3n = 35 + -11 -3n = 35 + -11 Combine like terms: 35 + -11 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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