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Simplifying 5(n + 7) + -2(n + 1) = 0 Reorder the terms: 5(7 + n) + -2(n + 1) = 0 (7 * 5 + n * 5) + -2(n + 1) = 0 (35 + 5n) + -2(n + 1) = 0 Reorder the terms: 35 + 5n + -2(1 + n) = 0 35 + 5n + (1 * -2 + n * -2) = 0 35 + 5n + (-2 + -2n) = 0 Reorder the terms: 35 + -2 + 5n + -2n = 0 Combine like terms: 35 + -2 = 33 33 + 5n + -2n = 0 Combine like terms: 5n + -2n = 3n 33 + 3n = 0 Solving 33 + 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 3n = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 3n = 0 + -33 3n = 0 + -33 Combine like terms: 0 + -33 = -33 3n = -33 Divide each side by '3'. n = -11 Simplifying n = -11
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