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Simplifying 5(-8p + -3) = 23 + -2p Reorder the terms: 5(-3 + -8p) = 23 + -2p (-3 * 5 + -8p * 5) = 23 + -2p (-15 + -40p) = 23 + -2p Solving -15 + -40p = 23 + -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. -15 + -40p + 2p = 23 + -2p + 2p Combine like terms: -40p + 2p = -38p -15 + -38p = 23 + -2p + 2p Combine like terms: -2p + 2p = 0 -15 + -38p = 23 + 0 -15 + -38p = 23 Add '15' to each side of the equation. -15 + 15 + -38p = 23 + 15 Combine like terms: -15 + 15 = 0 0 + -38p = 23 + 15 -38p = 23 + 15 Combine like terms: 23 + 15 = 38 -38p = 38 Divide each side by '-38'. p = -1 Simplifying p = -1
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