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Simplifying -7(p + 2) = -34 + -3p Reorder the terms: -7(2 + p) = -34 + -3p (2 * -7 + p * -7) = -34 + -3p (-14 + -7p) = -34 + -3p Solving -14 + -7p = -34 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -14 + -7p + 3p = -34 + -3p + 3p Combine like terms: -7p + 3p = -4p -14 + -4p = -34 + -3p + 3p Combine like terms: -3p + 3p = 0 -14 + -4p = -34 + 0 -14 + -4p = -34 Add '14' to each side of the equation. -14 + 14 + -4p = -34 + 14 Combine like terms: -14 + 14 = 0 0 + -4p = -34 + 14 -4p = -34 + 14 Combine like terms: -34 + 14 = -20 -4p = -20 Divide each side by '-4'. p = 5 Simplifying p = 5
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