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Simplifying 23 + -5(3 + -2n) = 5(1 + -1n) + -2 23 + (3 * -5 + -2n * -5) = 5(1 + -1n) + -2 23 + (-15 + 10n) = 5(1 + -1n) + -2 Combine like terms: 23 + -15 = 8 8 + 10n = 5(1 + -1n) + -2 8 + 10n = (1 * 5 + -1n * 5) + -2 8 + 10n = (5 + -5n) + -2 Reorder the terms: 8 + 10n = 5 + -2 + -5n Combine like terms: 5 + -2 = 3 8 + 10n = 3 + -5n Solving 8 + 10n = 3 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 8 + 10n + 5n = 3 + -5n + 5n Combine like terms: 10n + 5n = 15n 8 + 15n = 3 + -5n + 5n Combine like terms: -5n + 5n = 0 8 + 15n = 3 + 0 8 + 15n = 3 Add '-8' to each side of the equation. 8 + -8 + 15n = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 15n = 3 + -8 15n = 3 + -8 Combine like terms: 3 + -8 = -5 15n = -5 Divide each side by '15'. n = -0.3333333333 Simplifying n = -0.3333333333
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