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Simplifying -2p + 7 = 5(7p + 4) Reorder the terms: 7 + -2p = 5(7p + 4) Reorder the terms: 7 + -2p = 5(4 + 7p) 7 + -2p = (4 * 5 + 7p * 5) 7 + -2p = (20 + 35p) Solving 7 + -2p = 20 + 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. 7 + -2p + -35p = 20 + 35p + -35p Combine like terms: -2p + -35p = -37p 7 + -37p = 20 + 35p + -35p Combine like terms: 35p + -35p = 0 7 + -37p = 20 + 0 7 + -37p = 20 Add '-7' to each side of the equation. 7 + -7 + -37p = 20 + -7 Combine like terms: 7 + -7 = 0 0 + -37p = 20 + -7 -37p = 20 + -7 Combine like terms: 20 + -7 = 13 -37p = 13 Divide each side by '-37'. p = -0.3513513514 Simplifying p = -0.3513513514
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