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Simplifying 5(n + 7) + 2 = -35 + -4n Reorder the terms: 5(7 + n) + 2 = -35 + -4n (7 * 5 + n * 5) + 2 = -35 + -4n (35 + 5n) + 2 = -35 + -4n Reorder the terms: 35 + 2 + 5n = -35 + -4n Combine like terms: 35 + 2 = 37 37 + 5n = -35 + -4n Solving 37 + 5n = -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. 37 + 5n + 4n = -35 + -4n + 4n Combine like terms: 5n + 4n = 9n 37 + 9n = -35 + -4n + 4n Combine like terms: -4n + 4n = 0 37 + 9n = -35 + 0 37 + 9n = -35 Add '-37' to each side of the equation. 37 + -37 + 9n = -35 + -37 Combine like terms: 37 + -37 = 0 0 + 9n = -35 + -37 9n = -35 + -37 Combine like terms: -35 + -37 = -72 9n = -72 Divide each side by '9'. n = -8 Simplifying n = -8
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