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Simplifying -4(p + 2) = -1p + -7 + -2p Reorder the terms: -4(2 + p) = -1p + -7 + -2p (2 * -4 + p * -4) = -1p + -7 + -2p (-8 + -4p) = -1p + -7 + -2p Reorder the terms: -8 + -4p = -7 + -1p + -2p Combine like terms: -1p + -2p = -3p -8 + -4p = -7 + -3p Solving -8 + -4p = -7 + -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. -8 + -4p + 3p = -7 + -3p + 3p Combine like terms: -4p + 3p = -1p -8 + -1p = -7 + -3p + 3p Combine like terms: -3p + 3p = 0 -8 + -1p = -7 + 0 -8 + -1p = -7 Add '8' to each side of the equation. -8 + 8 + -1p = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -1p = -7 + 8 -1p = -7 + 8 Combine like terms: -7 + 8 = 1 -1p = 1 Divide each side by '-1'. p = -1 Simplifying p = -1
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