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Simplifying -5p + 7 = -1(2p + 4) Reorder the terms: 7 + -5p = -1(2p + 4) Reorder the terms: 7 + -5p = -1(4 + 2p) 7 + -5p = (4 * -1 + 2p * -1) 7 + -5p = (-4 + -2p) Solving 7 + -5p = -4 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 7 + -5p + 2p = -4 + -2p + 2p Combine like terms: -5p + 2p = -3p 7 + -3p = -4 + -2p + 2p Combine like terms: -2p + 2p = 0 7 + -3p = -4 + 0 7 + -3p = -4 Add '-7' to each side of the equation. 7 + -7 + -3p = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -3p = -4 + -7 -3p = -4 + -7 Combine like terms: -4 + -7 = -11 -3p = -11 Divide each side by '-3'. p = 3.666666667 Simplifying p = 3.666666667
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