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Simplifying -7 + 2p = -2p + -5(p + -4) Reorder the terms: -7 + 2p = -2p + -5(-4 + p) -7 + 2p = -2p + (-4 * -5 + p * -5) -7 + 2p = -2p + (20 + -5p) Reorder the terms: -7 + 2p = 20 + -2p + -5p Combine like terms: -2p + -5p = -7p -7 + 2p = 20 + -7p Solving -7 + 2p = 20 + -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. -7 + 2p + 7p = 20 + -7p + 7p Combine like terms: 2p + 7p = 9p -7 + 9p = 20 + -7p + 7p Combine like terms: -7p + 7p = 0 -7 + 9p = 20 + 0 -7 + 9p = 20 Add '7' to each side of the equation. -7 + 7 + 9p = 20 + 7 Combine like terms: -7 + 7 = 0 0 + 9p = 20 + 7 9p = 20 + 7 Combine like terms: 20 + 7 = 27 9p = 27 Divide each side by '9'. p = 3 Simplifying p = 3
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