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Simplifying 4(n + 1.5(n + -3)) = 92 Reorder the terms: 4(n + 1.5(-3 + n)) = 92 4(n + (-3 * 1.5 + n * 1.5)) = 92 4(n + (-4.5 + 1.5n)) = 92 Reorder the terms: 4(-4.5 + n + 1.5n) = 92 Combine like terms: n + 1.5n = 2.5n 4(-4.5 + 2.5n) = 92 (-4.5 * 4 + 2.5n * 4) = 92 (-18 + 10n) = 92 Solving -18 + 10n = 92 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 10n = 92 + 18 Combine like terms: -18 + 18 = 0 0 + 10n = 92 + 18 10n = 92 + 18 Combine like terms: 92 + 18 = 110 10n = 110 Divide each side by '10'. n = 11 Simplifying n = 11
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