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Simplifying -2p + 8 = 5(7p + 3) Reorder the terms: 8 + -2p = 5(7p + 3) Reorder the terms: 8 + -2p = 5(3 + 7p) 8 + -2p = (3 * 5 + 7p * 5) 8 + -2p = (15 + 35p) Solving 8 + -2p = 15 + 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. 8 + -2p + -35p = 15 + 35p + -35p Combine like terms: -2p + -35p = -37p 8 + -37p = 15 + 35p + -35p Combine like terms: 35p + -35p = 0 8 + -37p = 15 + 0 8 + -37p = 15 Add '-8' to each side of the equation. 8 + -8 + -37p = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -37p = 15 + -8 -37p = 15 + -8 Combine like terms: 15 + -8 = 7 -37p = 7 Divide each side by '-37'. p = -0.1891891892 Simplifying p = -0.1891891892
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