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Simplifying 6(n + 3) = -66 + -4(n + -6) Reorder the terms: 6(3 + n) = -66 + -4(n + -6) (3 * 6 + n * 6) = -66 + -4(n + -6) (18 + 6n) = -66 + -4(n + -6) Reorder the terms: 18 + 6n = -66 + -4(-6 + n) 18 + 6n = -66 + (-6 * -4 + n * -4) 18 + 6n = -66 + (24 + -4n) Combine like terms: -66 + 24 = -42 18 + 6n = -42 + -4n Solving 18 + 6n = -42 + -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. 18 + 6n + 4n = -42 + -4n + 4n Combine like terms: 6n + 4n = 10n 18 + 10n = -42 + -4n + 4n Combine like terms: -4n + 4n = 0 18 + 10n = -42 + 0 18 + 10n = -42 Add '-18' to each side of the equation. 18 + -18 + 10n = -42 + -18 Combine like terms: 18 + -18 = 0 0 + 10n = -42 + -18 10n = -42 + -18 Combine like terms: -42 + -18 = -60 10n = -60 Divide each side by '10'. n = -6 Simplifying n = -6
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