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Simplifying -6n + 32 = 2(2n + 6) Reorder the terms: 32 + -6n = 2(2n + 6) Reorder the terms: 32 + -6n = 2(6 + 2n) 32 + -6n = (6 * 2 + 2n * 2) 32 + -6n = (12 + 4n) Solving 32 + -6n = 12 + 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. 32 + -6n + -4n = 12 + 4n + -4n Combine like terms: -6n + -4n = -10n 32 + -10n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 32 + -10n = 12 + 0 32 + -10n = 12 Add '-32' to each side of the equation. 32 + -32 + -10n = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -10n = 12 + -32 -10n = 12 + -32 Combine like terms: 12 + -32 = -20 -10n = -20 Divide each side by '-10'. n = 2 Simplifying n = 2
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