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Simplifying 42 = 3p + 5(p + 2) Reorder the terms: 42 = 3p + 5(2 + p) 42 = 3p + (2 * 5 + p * 5) 42 = 3p + (10 + 5p) Reorder the terms: 42 = 10 + 3p + 5p Combine like terms: 3p + 5p = 8p 42 = 10 + 8p Solving 42 = 10 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 42 + -8p = 10 + 8p + -8p Combine like terms: 8p + -8p = 0 42 + -8p = 10 + 0 42 + -8p = 10 Add '-42' to each side of the equation. 42 + -42 + -8p = 10 + -42 Combine like terms: 42 + -42 = 0 0 + -8p = 10 + -42 -8p = 10 + -42 Combine like terms: 10 + -42 = -32 -8p = -32 Divide each side by '-8'. p = 4 Simplifying p = 4
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