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Simplifying 4(2 + -5n) = 23 + -5n (2 * 4 + -5n * 4) = 23 + -5n (8 + -20n) = 23 + -5n Solving 8 + -20n = 23 + -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 + -20n + 5n = 23 + -5n + 5n Combine like terms: -20n + 5n = -15n 8 + -15n = 23 + -5n + 5n Combine like terms: -5n + 5n = 0 8 + -15n = 23 + 0 8 + -15n = 23 Add '-8' to each side of the equation. 8 + -8 + -15n = 23 + -8 Combine like terms: 8 + -8 = 0 0 + -15n = 23 + -8 -15n = 23 + -8 Combine like terms: 23 + -8 = 15 -15n = 15 Divide each side by '-15'. n = -1 Simplifying n = -1
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