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Simplifying 4(2p + -5) = 1 + 7p Reorder the terms: 4(-5 + 2p) = 1 + 7p (-5 * 4 + 2p * 4) = 1 + 7p (-20 + 8p) = 1 + 7p Solving -20 + 8p = 1 + 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. -20 + 8p + -7p = 1 + 7p + -7p Combine like terms: 8p + -7p = 1p -20 + 1p = 1 + 7p + -7p Combine like terms: 7p + -7p = 0 -20 + 1p = 1 + 0 -20 + 1p = 1 Add '20' to each side of the equation. -20 + 20 + 1p = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 1p = 1 + 20 1p = 1 + 20 Combine like terms: 1 + 20 = 21 1p = 21 Divide each side by '1'. p = 21 Simplifying p = 21
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