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Simplifying (2n + 6) * 4 = -2n + 4 Reorder the terms: (6 + 2n) * 4 = -2n + 4 Reorder the terms for easier multiplication: 4(6 + 2n) = -2n + 4 (6 * 4 + 2n * 4) = -2n + 4 (24 + 8n) = -2n + 4 Reorder the terms: 24 + 8n = 4 + -2n Solving 24 + 8n = 4 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 24 + 8n + 2n = 4 + -2n + 2n Combine like terms: 8n + 2n = 10n 24 + 10n = 4 + -2n + 2n Combine like terms: -2n + 2n = 0 24 + 10n = 4 + 0 24 + 10n = 4 Add '-24' to each side of the equation. 24 + -24 + 10n = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 10n = 4 + -24 10n = 4 + -24 Combine like terms: 4 + -24 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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