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Simplifying -7(2p + 1) = -17 + -4p Reorder the terms: -7(1 + 2p) = -17 + -4p (1 * -7 + 2p * -7) = -17 + -4p (-7 + -14p) = -17 + -4p Solving -7 + -14p = -17 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -7 + -14p + 4p = -17 + -4p + 4p Combine like terms: -14p + 4p = -10p -7 + -10p = -17 + -4p + 4p Combine like terms: -4p + 4p = 0 -7 + -10p = -17 + 0 -7 + -10p = -17 Add '7' to each side of the equation. -7 + 7 + -10p = -17 + 7 Combine like terms: -7 + 7 = 0 0 + -10p = -17 + 7 -10p = -17 + 7 Combine like terms: -17 + 7 = -10 -10p = -10 Divide each side by '-10'. p = 1 Simplifying p = 1
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