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Simplifying 5(2n + -3) + -3(2n + -3) = 44 Reorder the terms: 5(-3 + 2n) + -3(2n + -3) = 44 (-3 * 5 + 2n * 5) + -3(2n + -3) = 44 (-15 + 10n) + -3(2n + -3) = 44 Reorder the terms: -15 + 10n + -3(-3 + 2n) = 44 -15 + 10n + (-3 * -3 + 2n * -3) = 44 -15 + 10n + (9 + -6n) = 44 Reorder the terms: -15 + 9 + 10n + -6n = 44 Combine like terms: -15 + 9 = -6 -6 + 10n + -6n = 44 Combine like terms: 10n + -6n = 4n -6 + 4n = 44 Solving -6 + 4n = 44 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4n = 44 + 6 Combine like terms: -6 + 6 = 0 0 + 4n = 44 + 6 4n = 44 + 6 Combine like terms: 44 + 6 = 50 4n = 50 Divide each side by '4'. n = 12.5 Simplifying n = 12.5
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