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Simplifying 21 = 7(3n + -5) + 7(n + 8) Reorder the terms: 21 = 7(-5 + 3n) + 7(n + 8) 21 = (-5 * 7 + 3n * 7) + 7(n + 8) 21 = (-35 + 21n) + 7(n + 8) Reorder the terms: 21 = -35 + 21n + 7(8 + n) 21 = -35 + 21n + (8 * 7 + n * 7) 21 = -35 + 21n + (56 + 7n) Reorder the terms: 21 = -35 + 56 + 21n + 7n Combine like terms: -35 + 56 = 21 21 = 21 + 21n + 7n Combine like terms: 21n + 7n = 28n 21 = 21 + 28n Add '-21' to each side of the equation. 21 + -21 = 21 + -21 + 28n Combine like terms: 21 + -21 = 0 0 = 21 + -21 + 28n Combine like terms: 21 + -21 = 0 0 = 0 + 28n 0 = 28n Solving 0 = 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 0 + -28n = 28n + -28n Remove the zero: -28n = 28n + -28n Combine like terms: 28n + -28n = 0 -28n = 0 Divide each side by '-28'. n = 0 Simplifying n = 0
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