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Simplifying -8 + 2(1 + 3n) = 4(6 + -1n) -8 + (1 * 2 + 3n * 2) = 4(6 + -1n) -8 + (2 + 6n) = 4(6 + -1n) Combine like terms: -8 + 2 = -6 -6 + 6n = 4(6 + -1n) -6 + 6n = (6 * 4 + -1n * 4) -6 + 6n = (24 + -4n) Solving -6 + 6n = 24 + -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. -6 + 6n + 4n = 24 + -4n + 4n Combine like terms: 6n + 4n = 10n -6 + 10n = 24 + -4n + 4n Combine like terms: -4n + 4n = 0 -6 + 10n = 24 + 0 -6 + 10n = 24 Add '6' to each side of the equation. -6 + 6 + 10n = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 10n = 24 + 6 10n = 24 + 6 Combine like terms: 24 + 6 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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