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Simplifying -22 + 20(p + 20) = 8 + -10(4p + 22) Reorder the terms: -22 + 20(20 + p) = 8 + -10(4p + 22) -22 + (20 * 20 + p * 20) = 8 + -10(4p + 22) -22 + (400 + 20p) = 8 + -10(4p + 22) Combine like terms: -22 + 400 = 378 378 + 20p = 8 + -10(4p + 22) Reorder the terms: 378 + 20p = 8 + -10(22 + 4p) 378 + 20p = 8 + (22 * -10 + 4p * -10) 378 + 20p = 8 + (-220 + -40p) Combine like terms: 8 + -220 = -212 378 + 20p = -212 + -40p Solving 378 + 20p = -212 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. 378 + 20p + 40p = -212 + -40p + 40p Combine like terms: 20p + 40p = 60p 378 + 60p = -212 + -40p + 40p Combine like terms: -40p + 40p = 0 378 + 60p = -212 + 0 378 + 60p = -212 Add '-378' to each side of the equation. 378 + -378 + 60p = -212 + -378 Combine like terms: 378 + -378 = 0 0 + 60p = -212 + -378 60p = -212 + -378 Combine like terms: -212 + -378 = -590 60p = -590 Divide each side by '60'. p = -9.833333333 Simplifying p = -9.833333333
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