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Simplifying 15 + 2p = -2p + 5(p + 3) Reorder the terms: 15 + 2p = -2p + 5(3 + p) 15 + 2p = -2p + (3 * 5 + p * 5) 15 + 2p = -2p + (15 + 5p) Reorder the terms: 15 + 2p = 15 + -2p + 5p Combine like terms: -2p + 5p = 3p 15 + 2p = 15 + 3p Add '-15' to each side of the equation. 15 + -15 + 2p = 15 + -15 + 3p Combine like terms: 15 + -15 = 0 0 + 2p = 15 + -15 + 3p 2p = 15 + -15 + 3p Combine like terms: 15 + -15 = 0 2p = 0 + 3p 2p = 3p Solving 2p = 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. 2p + -3p = 3p + -3p Combine like terms: 2p + -3p = -1p -1p = 3p + -3p Combine like terms: 3p + -3p = 0 -1p = 0 Divide each side by '-1'. p = 0 Simplifying p = 0
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