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Simplifying -3p + 7 = 5(8p + 4) Reorder the terms: 7 + -3p = 5(8p + 4) Reorder the terms: 7 + -3p = 5(4 + 8p) 7 + -3p = (4 * 5 + 8p * 5) 7 + -3p = (20 + 40p) Solving 7 + -3p = 20 + 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. 7 + -3p + -40p = 20 + 40p + -40p Combine like terms: -3p + -40p = -43p 7 + -43p = 20 + 40p + -40p Combine like terms: 40p + -40p = 0 7 + -43p = 20 + 0 7 + -43p = 20 Add '-7' to each side of the equation. 7 + -7 + -43p = 20 + -7 Combine like terms: 7 + -7 = 0 0 + -43p = 20 + -7 -43p = 20 + -7 Combine like terms: 20 + -7 = 13 -43p = 13 Divide each side by '-43'. p = -0.3023255814 Simplifying p = -0.3023255814
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