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Simplifying 3(6 + 3n) = -32 + -1n (6 * 3 + 3n * 3) = -32 + -1n (18 + 9n) = -32 + -1n Solving 18 + 9n = -32 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 18 + 9n + n = -32 + -1n + n Combine like terms: 9n + n = 10n 18 + 10n = -32 + -1n + n Combine like terms: -1n + n = 0 18 + 10n = -32 + 0 18 + 10n = -32 Add '-18' to each side of the equation. 18 + -18 + 10n = -32 + -18 Combine like terms: 18 + -18 = 0 0 + 10n = -32 + -18 10n = -32 + -18 Combine like terms: -32 + -18 = -50 10n = -50 Divide each side by '10'. n = -5 Simplifying n = -5
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