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Simplifying 4(n + 1) + -3 = -24 + -1n Reorder the terms: 4(1 + n) + -3 = -24 + -1n (1 * 4 + n * 4) + -3 = -24 + -1n (4 + 4n) + -3 = -24 + -1n Reorder the terms: 4 + -3 + 4n = -24 + -1n Combine like terms: 4 + -3 = 1 1 + 4n = -24 + -1n Solving 1 + 4n = -24 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 1 + 4n + n = -24 + -1n + n Combine like terms: 4n + n = 5n 1 + 5n = -24 + -1n + n Combine like terms: -1n + n = 0 1 + 5n = -24 + 0 1 + 5n = -24 Add '-1' to each side of the equation. 1 + -1 + 5n = -24 + -1 Combine like terms: 1 + -1 = 0 0 + 5n = -24 + -1 5n = -24 + -1 Combine like terms: -24 + -1 = -25 5n = -25 Divide each side by '5'. n = -5 Simplifying n = -5
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