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Simplifying 5(p + -4) = 3p + -7 Reorder the terms: 5(-4 + p) = 3p + -7 (-4 * 5 + p * 5) = 3p + -7 (-20 + 5p) = 3p + -7 Reorder the terms: -20 + 5p = -7 + 3p Solving -20 + 5p = -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. -20 + 5p + -3p = -7 + 3p + -3p Combine like terms: 5p + -3p = 2p -20 + 2p = -7 + 3p + -3p Combine like terms: 3p + -3p = 0 -20 + 2p = -7 + 0 -20 + 2p = -7 Add '20' to each side of the equation. -20 + 20 + 2p = -7 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = -7 + 20 2p = -7 + 20 Combine like terms: -7 + 20 = 13 2p = 13 Divide each side by '2'. p = 6.5 Simplifying p = 6.5
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