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Simplifying -8p + -11 = 7(1 + 2p) + 4 Reorder the terms: -11 + -8p = 7(1 + 2p) + 4 -11 + -8p = (1 * 7 + 2p * 7) + 4 -11 + -8p = (7 + 14p) + 4 Reorder the terms: -11 + -8p = 7 + 4 + 14p Combine like terms: 7 + 4 = 11 -11 + -8p = 11 + 14p Solving -11 + -8p = 11 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. -11 + -8p + -14p = 11 + 14p + -14p Combine like terms: -8p + -14p = -22p -11 + -22p = 11 + 14p + -14p Combine like terms: 14p + -14p = 0 -11 + -22p = 11 + 0 -11 + -22p = 11 Add '11' to each side of the equation. -11 + 11 + -22p = 11 + 11 Combine like terms: -11 + 11 = 0 0 + -22p = 11 + 11 -22p = 11 + 11 Combine like terms: 11 + 11 = 22 -22p = 22 Divide each side by '-22'. p = -1 Simplifying p = -1
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