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Simplifying 3(n + 5) = (n + p) * 3 Reorder the terms: 3(5 + n) = (n + p) * 3 (5 * 3 + n * 3) = (n + p) * 3 (15 + 3n) = (n + p) * 3 Reorder the terms for easier multiplication: 15 + 3n = 3(n + p) 15 + 3n = (n * 3 + p * 3) 15 + 3n = (3n + 3p) Add '-3n' to each side of the equation. 15 + 3n + -3n = 3n + -3n + 3p Combine like terms: 3n + -3n = 0 15 + 0 = 3n + -3n + 3p 15 = 3n + -3n + 3p Combine like terms: 3n + -3n = 0 15 = 0 + 3p 15 = 3p Solving 15 = 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 15 + -3p = 3p + -3p Combine like terms: 3p + -3p = 0 15 + -3p = 0 Add '-15' to each side of the equation. 15 + -15 + -3p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3p = 0 + -15 -3p = 0 + -15 Combine like terms: 0 + -15 = -15 -3p = -15 Divide each side by '-3'. p = 5 Simplifying p = 5
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