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Simplifying 7n + 3(n + -6) = 27 + n Reorder the terms: 7n + 3(-6 + n) = 27 + n 7n + (-6 * 3 + n * 3) = 27 + n 7n + (-18 + 3n) = 27 + n Reorder the terms: -18 + 7n + 3n = 27 + n Combine like terms: 7n + 3n = 10n -18 + 10n = 27 + n Solving -18 + 10n = 27 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -18 + 10n + -1n = 27 + n + -1n Combine like terms: 10n + -1n = 9n -18 + 9n = 27 + n + -1n Combine like terms: n + -1n = 0 -18 + 9n = 27 + 0 -18 + 9n = 27 Add '18' to each side of the equation. -18 + 18 + 9n = 27 + 18 Combine like terms: -18 + 18 = 0 0 + 9n = 27 + 18 9n = 27 + 18 Combine like terms: 27 + 18 = 45 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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