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Simplifying 6 + -5(2n + 3) = 4(2 + -5n) Reorder the terms: 6 + -5(3 + 2n) = 4(2 + -5n) 6 + (3 * -5 + 2n * -5) = 4(2 + -5n) 6 + (-15 + -10n) = 4(2 + -5n) Combine like terms: 6 + -15 = -9 -9 + -10n = 4(2 + -5n) -9 + -10n = (2 * 4 + -5n * 4) -9 + -10n = (8 + -20n) Solving -9 + -10n = 8 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. -9 + -10n + 20n = 8 + -20n + 20n Combine like terms: -10n + 20n = 10n -9 + 10n = 8 + -20n + 20n Combine like terms: -20n + 20n = 0 -9 + 10n = 8 + 0 -9 + 10n = 8 Add '9' to each side of the equation. -9 + 9 + 10n = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 10n = 8 + 9 10n = 8 + 9 Combine like terms: 8 + 9 = 17 10n = 17 Divide each side by '10'. n = 1.7 Simplifying n = 1.7
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