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Simplifying -5n + 21 = -6n + -4(n + 1) Reorder the terms: 21 + -5n = -6n + -4(n + 1) Reorder the terms: 21 + -5n = -6n + -4(1 + n) 21 + -5n = -6n + (1 * -4 + n * -4) 21 + -5n = -6n + (-4 + -4n) Reorder the terms: 21 + -5n = -4 + -6n + -4n Combine like terms: -6n + -4n = -10n 21 + -5n = -4 + -10n Solving 21 + -5n = -4 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 21 + -5n + 10n = -4 + -10n + 10n Combine like terms: -5n + 10n = 5n 21 + 5n = -4 + -10n + 10n Combine like terms: -10n + 10n = 0 21 + 5n = -4 + 0 21 + 5n = -4 Add '-21' to each side of the equation. 21 + -21 + 5n = -4 + -21 Combine like terms: 21 + -21 = 0 0 + 5n = -4 + -21 5n = -4 + -21 Combine like terms: -4 + -21 = -25 5n = -25 Divide each side by '5'. n = -5 Simplifying n = -5
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