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Simplifying 5(1 + 2n) + 6(n + -3) = 8n + -5n (1 * 5 + 2n * 5) + 6(n + -3) = 8n + -5n (5 + 10n) + 6(n + -3) = 8n + -5n Reorder the terms: 5 + 10n + 6(-3 + n) = 8n + -5n 5 + 10n + (-3 * 6 + n * 6) = 8n + -5n 5 + 10n + (-18 + 6n) = 8n + -5n Reorder the terms: 5 + -18 + 10n + 6n = 8n + -5n Combine like terms: 5 + -18 = -13 -13 + 10n + 6n = 8n + -5n Combine like terms: 10n + 6n = 16n -13 + 16n = 8n + -5n Combine like terms: 8n + -5n = 3n -13 + 16n = 3n Solving -13 + 16n = 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -13 + 16n + -3n = 3n + -3n Combine like terms: 16n + -3n = 13n -13 + 13n = 3n + -3n Combine like terms: 3n + -3n = 0 -13 + 13n = 0 Add '13' to each side of the equation. -13 + 13 + 13n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 13n = 0 + 13 13n = 0 + 13 Combine like terms: 0 + 13 = 13 13n = 13 Divide each side by '13'. n = 1 Simplifying n = 1
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