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Simplifying -3p + 7 = 5 + -1(20p + 4) Reorder the terms: 7 + -3p = 5 + -1(20p + 4) Reorder the terms: 7 + -3p = 5 + -1(4 + 20p) 7 + -3p = 5 + (4 * -1 + 20p * -1) 7 + -3p = 5 + (-4 + -20p) Combine like terms: 5 + -4 = 1 7 + -3p = 1 + -20p Solving 7 + -3p = 1 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. 7 + -3p + 20p = 1 + -20p + 20p Combine like terms: -3p + 20p = 17p 7 + 17p = 1 + -20p + 20p Combine like terms: -20p + 20p = 0 7 + 17p = 1 + 0 7 + 17p = 1 Add '-7' to each side of the equation. 7 + -7 + 17p = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 17p = 1 + -7 17p = 1 + -7 Combine like terms: 1 + -7 = -6 17p = -6 Divide each side by '17'. p = -0.3529411765 Simplifying p = -0.3529411765
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