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Simplifying 5 + -3(3 + -1p) = 7p 5 + (3 * -3 + -1p * -3) = 7p 5 + (-9 + 3p) = 7p Combine like terms: 5 + -9 = -4 -4 + 3p = 7p Solving -4 + 3p = 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -4 + 3p + -7p = 7p + -7p Combine like terms: 3p + -7p = -4p -4 + -4p = 7p + -7p Combine like terms: 7p + -7p = 0 -4 + -4p = 0 Add '4' to each side of the equation. -4 + 4 + -4p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4p = 0 + 4 -4p = 0 + 4 Combine like terms: 0 + 4 = 4 -4p = 4 Divide each side by '-4'. p = -1 Simplifying p = -1
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