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Simplifying 4(n + 3) = 22 + -6n Reorder the terms: 4(3 + n) = 22 + -6n (3 * 4 + n * 4) = 22 + -6n (12 + 4n) = 22 + -6n Solving 12 + 4n = 22 + -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. 12 + 4n + 6n = 22 + -6n + 6n Combine like terms: 4n + 6n = 10n 12 + 10n = 22 + -6n + 6n Combine like terms: -6n + 6n = 0 12 + 10n = 22 + 0 12 + 10n = 22 Add '-12' to each side of the equation. 12 + -12 + 10n = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 10n = 22 + -12 10n = 22 + -12 Combine like terms: 22 + -12 = 10 10n = 10 Divide each side by '10'. n = 1 Simplifying n = 1
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