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Simplifying -7(2 + 2p) = 34 + 2p (2 * -7 + 2p * -7) = 34 + 2p (-14 + -14p) = 34 + 2p Solving -14 + -14p = 34 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -14 + -14p + -2p = 34 + 2p + -2p Combine like terms: -14p + -2p = -16p -14 + -16p = 34 + 2p + -2p Combine like terms: 2p + -2p = 0 -14 + -16p = 34 + 0 -14 + -16p = 34 Add '14' to each side of the equation. -14 + 14 + -16p = 34 + 14 Combine like terms: -14 + 14 = 0 0 + -16p = 34 + 14 -16p = 34 + 14 Combine like terms: 34 + 14 = 48 -16p = 48 Divide each side by '-16'. p = -3 Simplifying p = -3
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