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Simplifying 10n + -3(n + 6) = 2(1 + 4n) Reorder the terms: 10n + -3(6 + n) = 2(1 + 4n) 10n + (6 * -3 + n * -3) = 2(1 + 4n) 10n + (-18 + -3n) = 2(1 + 4n) Reorder the terms: -18 + 10n + -3n = 2(1 + 4n) Combine like terms: 10n + -3n = 7n -18 + 7n = 2(1 + 4n) -18 + 7n = (1 * 2 + 4n * 2) -18 + 7n = (2 + 8n) Solving -18 + 7n = 2 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -18 + 7n + -8n = 2 + 8n + -8n Combine like terms: 7n + -8n = -1n -18 + -1n = 2 + 8n + -8n Combine like terms: 8n + -8n = 0 -18 + -1n = 2 + 0 -18 + -1n = 2 Add '18' to each side of the equation. -18 + 18 + -1n = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -1n = 2 + 18 -1n = 2 + 18 Combine like terms: 2 + 18 = 20 -1n = 20 Divide each side by '-1'. n = -20 Simplifying n = -20
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