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Simplifying (5)(n + n + 2) + 5 = 19(n + 6) Reorder the terms: 5(2 + n + n) + 5 = 19(n + 6) Combine like terms: n + n = 2n 5(2 + 2n) + 5 = 19(n + 6) (2 * 5 + 2n * 5) + 5 = 19(n + 6) (10 + 10n) + 5 = 19(n + 6) Reorder the terms: 10 + 5 + 10n = 19(n + 6) Combine like terms: 10 + 5 = 15 15 + 10n = 19(n + 6) Reorder the terms: 15 + 10n = 19(6 + n) 15 + 10n = (6 * 19 + n * 19) 15 + 10n = (114 + 19n) Solving 15 + 10n = 114 + 19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19n' to each side of the equation. 15 + 10n + -19n = 114 + 19n + -19n Combine like terms: 10n + -19n = -9n 15 + -9n = 114 + 19n + -19n Combine like terms: 19n + -19n = 0 15 + -9n = 114 + 0 15 + -9n = 114 Add '-15' to each side of the equation. 15 + -15 + -9n = 114 + -15 Combine like terms: 15 + -15 = 0 0 + -9n = 114 + -15 -9n = 114 + -15 Combine like terms: 114 + -15 = 99 -9n = 99 Divide each side by '-9'. n = -11 Simplifying n = -11
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