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Simplifying -3 + 20p + 7 = -20 + 4(10p + -19) Reorder the terms: -3 + 7 + 20p = -20 + 4(10p + -19) Combine like terms: -3 + 7 = 4 4 + 20p = -20 + 4(10p + -19) Reorder the terms: 4 + 20p = -20 + 4(-19 + 10p) 4 + 20p = -20 + (-19 * 4 + 10p * 4) 4 + 20p = -20 + (-76 + 40p) Combine like terms: -20 + -76 = -96 4 + 20p = -96 + 40p Solving 4 + 20p = -96 + 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. 4 + 20p + -40p = -96 + 40p + -40p Combine like terms: 20p + -40p = -20p 4 + -20p = -96 + 40p + -40p Combine like terms: 40p + -40p = 0 4 + -20p = -96 + 0 4 + -20p = -96 Add '-4' to each side of the equation. 4 + -4 + -20p = -96 + -4 Combine like terms: 4 + -4 = 0 0 + -20p = -96 + -4 -20p = -96 + -4 Combine like terms: -96 + -4 = -100 -20p = -100 Divide each side by '-20'. p = 5 Simplifying p = 5
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