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Simplifying 11(1 + 2p) + 8(1 + -7p) = -7p + -8p (1 * 11 + 2p * 11) + 8(1 + -7p) = -7p + -8p (11 + 22p) + 8(1 + -7p) = -7p + -8p 11 + 22p + (1 * 8 + -7p * 8) = -7p + -8p 11 + 22p + (8 + -56p) = -7p + -8p Reorder the terms: 11 + 8 + 22p + -56p = -7p + -8p Combine like terms: 11 + 8 = 19 19 + 22p + -56p = -7p + -8p Combine like terms: 22p + -56p = -34p 19 + -34p = -7p + -8p Combine like terms: -7p + -8p = -15p 19 + -34p = -15p Solving 19 + -34p = -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. 19 + -34p + 15p = -15p + 15p Combine like terms: -34p + 15p = -19p 19 + -19p = -15p + 15p Combine like terms: -15p + 15p = 0 19 + -19p = 0 Add '-19' to each side of the equation. 19 + -19 + -19p = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -19p = 0 + -19 -19p = 0 + -19 Combine like terms: 0 + -19 = -19 -19p = -19 Divide each side by '-19'. p = 1 Simplifying p = 1
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