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Simplifying -5(8p + -4) = -22 + 2p Reorder the terms: -5(-4 + 8p) = -22 + 2p (-4 * -5 + 8p * -5) = -22 + 2p (20 + -40p) = -22 + 2p Solving 20 + -40p = -22 + 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 + -40p + -2p = -22 + 2p + -2p Combine like terms: -40p + -2p = -42p 20 + -42p = -22 + 2p + -2p Combine like terms: 2p + -2p = 0 20 + -42p = -22 + 0 20 + -42p = -22 Add '-20' to each side of the equation. 20 + -20 + -42p = -22 + -20 Combine like terms: 20 + -20 = 0 0 + -42p = -22 + -20 -42p = -22 + -20 Combine like terms: -22 + -20 = -42 -42p = -42 Divide each side by '-42'. p = 1 Simplifying p = 1
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