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Simplifying -14 + -4n = 6(n + 4) + -2 Reorder the terms: -14 + -4n = 6(4 + n) + -2 -14 + -4n = (4 * 6 + n * 6) + -2 -14 + -4n = (24 + 6n) + -2 Reorder the terms: -14 + -4n = 24 + -2 + 6n Combine like terms: 24 + -2 = 22 -14 + -4n = 22 + 6n Solving -14 + -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. -14 + -4n + -6n = 22 + 6n + -6n Combine like terms: -4n + -6n = -10n -14 + -10n = 22 + 6n + -6n Combine like terms: 6n + -6n = 0 -14 + -10n = 22 + 0 -14 + -10n = 22 Add '14' to each side of the equation. -14 + 14 + -10n = 22 + 14 Combine like terms: -14 + 14 = 0 0 + -10n = 22 + 14 -10n = 22 + 14 Combine like terms: 22 + 14 = 36 -10n = 36 Divide each side by '-10'. n = -3.6 Simplifying n = -3.6
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