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Simplifying 8n + 2 = 10(n + 4) Reorder the terms: 2 + 8n = 10(n + 4) Reorder the terms: 2 + 8n = 10(4 + n) 2 + 8n = (4 * 10 + n * 10) 2 + 8n = (40 + 10n) Solving 2 + 8n = 40 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 2 + 8n + -10n = 40 + 10n + -10n Combine like terms: 8n + -10n = -2n 2 + -2n = 40 + 10n + -10n Combine like terms: 10n + -10n = 0 2 + -2n = 40 + 0 2 + -2n = 40 Add '-2' to each side of the equation. 2 + -2 + -2n = 40 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = 40 + -2 -2n = 40 + -2 Combine like terms: 40 + -2 = 38 -2n = 38 Divide each side by '-2'. n = -19 Simplifying n = -19
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