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Simplifying 21 + 3p = 3(2p + 5) Reorder the terms: 21 + 3p = 3(5 + 2p) 21 + 3p = (5 * 3 + 2p * 3) 21 + 3p = (15 + 6p) Solving 21 + 3p = 15 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 21 + 3p + -6p = 15 + 6p + -6p Combine like terms: 3p + -6p = -3p 21 + -3p = 15 + 6p + -6p Combine like terms: 6p + -6p = 0 21 + -3p = 15 + 0 21 + -3p = 15 Add '-21' to each side of the equation. 21 + -21 + -3p = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -3p = 15 + -21 -3p = 15 + -21 Combine like terms: 15 + -21 = -6 -3p = -6 Divide each side by '-3'. p = 2 Simplifying p = 2
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