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Simplifying 5 + -4(n + 1) = 23n + 13 Reorder the terms: 5 + -4(1 + n) = 23n + 13 5 + (1 * -4 + n * -4) = 23n + 13 5 + (-4 + -4n) = 23n + 13 Combine like terms: 5 + -4 = 1 1 + -4n = 23n + 13 Reorder the terms: 1 + -4n = 13 + 23n Solving 1 + -4n = 13 + 23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-23n' to each side of the equation. 1 + -4n + -23n = 13 + 23n + -23n Combine like terms: -4n + -23n = -27n 1 + -27n = 13 + 23n + -23n Combine like terms: 23n + -23n = 0 1 + -27n = 13 + 0 1 + -27n = 13 Add '-1' to each side of the equation. 1 + -1 + -27n = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -27n = 13 + -1 -27n = 13 + -1 Combine like terms: 13 + -1 = 12 -27n = 12 Divide each side by '-27'. n = -0.4444444444 Simplifying n = -0.4444444444
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