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Simplifying 3p + -5(p + 4) + 9 = -11 + 15p Reorder the terms: 3p + -5(4 + p) + 9 = -11 + 15p 3p + (4 * -5 + p * -5) + 9 = -11 + 15p 3p + (-20 + -5p) + 9 = -11 + 15p Reorder the terms: -20 + 9 + 3p + -5p = -11 + 15p Combine like terms: -20 + 9 = -11 -11 + 3p + -5p = -11 + 15p Combine like terms: 3p + -5p = -2p -11 + -2p = -11 + 15p Add '11' to each side of the equation. -11 + 11 + -2p = -11 + 11 + 15p Combine like terms: -11 + 11 = 0 0 + -2p = -11 + 11 + 15p -2p = -11 + 11 + 15p Combine like terms: -11 + 11 = 0 -2p = 0 + 15p -2p = 15p Solving -2p = 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -2p + -15p = 15p + -15p Combine like terms: -2p + -15p = -17p -17p = 15p + -15p Combine like terms: 15p + -15p = 0 -17p = 0 Divide each side by '-17'. p = 0 Simplifying p = 0
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