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Simplifying 5n + 21 = 5(3n + -5) + 6 Reorder the terms: 21 + 5n = 5(3n + -5) + 6 Reorder the terms: 21 + 5n = 5(-5 + 3n) + 6 21 + 5n = (-5 * 5 + 3n * 5) + 6 21 + 5n = (-25 + 15n) + 6 Reorder the terms: 21 + 5n = -25 + 6 + 15n Combine like terms: -25 + 6 = -19 21 + 5n = -19 + 15n Solving 21 + 5n = -19 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 21 + 5n + -15n = -19 + 15n + -15n Combine like terms: 5n + -15n = -10n 21 + -10n = -19 + 15n + -15n Combine like terms: 15n + -15n = 0 21 + -10n = -19 + 0 21 + -10n = -19 Add '-21' to each side of the equation. 21 + -21 + -10n = -19 + -21 Combine like terms: 21 + -21 = 0 0 + -10n = -19 + -21 -10n = -19 + -21 Combine like terms: -19 + -21 = -40 -10n = -40 Divide each side by '-10'. n = 4 Simplifying n = 4
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