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Simplifying 4 + -1(3p + 7) = 5 + -1p Reorder the terms: 4 + -1(7 + 3p) = 5 + -1p 4 + (7 * -1 + 3p * -1) = 5 + -1p 4 + (-7 + -3p) = 5 + -1p Combine like terms: 4 + -7 = -3 -3 + -3p = 5 + -1p Solving -3 + -3p = 5 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -3 + -3p + p = 5 + -1p + p Combine like terms: -3p + p = -2p -3 + -2p = 5 + -1p + p Combine like terms: -1p + p = 0 -3 + -2p = 5 + 0 -3 + -2p = 5 Add '3' to each side of the equation. -3 + 3 + -2p = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -2p = 5 + 3 -2p = 5 + 3 Combine like terms: 5 + 3 = 8 -2p = 8 Divide each side by '-2'. p = -4 Simplifying p = -4
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