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Simplifying 4(2 + -1n) = 3(2n + -5) (2 * 4 + -1n * 4) = 3(2n + -5) (8 + -4n) = 3(2n + -5) Reorder the terms: 8 + -4n = 3(-5 + 2n) 8 + -4n = (-5 * 3 + 2n * 3) 8 + -4n = (-15 + 6n) Solving 8 + -4n = -15 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 8 + -4n + -6n = -15 + 6n + -6n Combine like terms: -4n + -6n = -10n 8 + -10n = -15 + 6n + -6n Combine like terms: 6n + -6n = 0 8 + -10n = -15 + 0 8 + -10n = -15 Add '-8' to each side of the equation. 8 + -8 + -10n = -15 + -8 Combine like terms: 8 + -8 = 0 0 + -10n = -15 + -8 -10n = -15 + -8 Combine like terms: -15 + -8 = -23 -10n = -23 Divide each side by '-10'. n = 2.3 Simplifying n = 2.3
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