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Simplifying 9 + 5(1 + 2n) = 6(n + -3) 9 + (1 * 5 + 2n * 5) = 6(n + -3) 9 + (5 + 10n) = 6(n + -3) Combine like terms: 9 + 5 = 14 14 + 10n = 6(n + -3) Reorder the terms: 14 + 10n = 6(-3 + n) 14 + 10n = (-3 * 6 + n * 6) 14 + 10n = (-18 + 6n) Solving 14 + 10n = -18 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 14 + 10n + -6n = -18 + 6n + -6n Combine like terms: 10n + -6n = 4n 14 + 4n = -18 + 6n + -6n Combine like terms: 6n + -6n = 0 14 + 4n = -18 + 0 14 + 4n = -18 Add '-14' to each side of the equation. 14 + -14 + 4n = -18 + -14 Combine like terms: 14 + -14 = 0 0 + 4n = -18 + -14 4n = -18 + -14 Combine like terms: -18 + -14 = -32 4n = -32 Divide each side by '4'. n = -8 Simplifying n = -8
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