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Simplifying 4(2p + -5) = 2(p + 1) Reorder the terms: 4(-5 + 2p) = 2(p + 1) (-5 * 4 + 2p * 4) = 2(p + 1) (-20 + 8p) = 2(p + 1) Reorder the terms: -20 + 8p = 2(1 + p) -20 + 8p = (1 * 2 + p * 2) -20 + 8p = (2 + 2p) Solving -20 + 8p = 2 + 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. -20 + 8p + -2p = 2 + 2p + -2p Combine like terms: 8p + -2p = 6p -20 + 6p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 -20 + 6p = 2 + 0 -20 + 6p = 2 Add '20' to each side of the equation. -20 + 20 + 6p = 2 + 20 Combine like terms: -20 + 20 = 0 0 + 6p = 2 + 20 6p = 2 + 20 Combine like terms: 2 + 20 = 22 6p = 22 Divide each side by '6'. p = 3.666666667 Simplifying p = 3.666666667
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