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Simplifying 4(n + 5) + -5(2n + -1) = n + -24 Reorder the terms: 4(5 + n) + -5(2n + -1) = n + -24 (5 * 4 + n * 4) + -5(2n + -1) = n + -24 (20 + 4n) + -5(2n + -1) = n + -24 Reorder the terms: 20 + 4n + -5(-1 + 2n) = n + -24 20 + 4n + (-1 * -5 + 2n * -5) = n + -24 20 + 4n + (5 + -10n) = n + -24 Reorder the terms: 20 + 5 + 4n + -10n = n + -24 Combine like terms: 20 + 5 = 25 25 + 4n + -10n = n + -24 Combine like terms: 4n + -10n = -6n 25 + -6n = n + -24 Reorder the terms: 25 + -6n = -24 + n Solving 25 + -6n = -24 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 25 + -6n + -1n = -24 + n + -1n Combine like terms: -6n + -1n = -7n 25 + -7n = -24 + n + -1n Combine like terms: n + -1n = 0 25 + -7n = -24 + 0 25 + -7n = -24 Add '-25' to each side of the equation. 25 + -25 + -7n = -24 + -25 Combine like terms: 25 + -25 = 0 0 + -7n = -24 + -25 -7n = -24 + -25 Combine like terms: -24 + -25 = -49 -7n = -49 Divide each side by '-7'. n = 7 Simplifying n = 7
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