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Simplifying 2(p + 3) = 21 + -3p Reorder the terms: 2(3 + p) = 21 + -3p (3 * 2 + p * 2) = 21 + -3p (6 + 2p) = 21 + -3p Solving 6 + 2p = 21 + -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. 6 + 2p + 3p = 21 + -3p + 3p Combine like terms: 2p + 3p = 5p 6 + 5p = 21 + -3p + 3p Combine like terms: -3p + 3p = 0 6 + 5p = 21 + 0 6 + 5p = 21 Add '-6' to each side of the equation. 6 + -6 + 5p = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 5p = 21 + -6 5p = 21 + -6 Combine like terms: 21 + -6 = 15 5p = 15 Divide each side by '5'. p = 3 Simplifying p = 3
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