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Simplifying 5(8p + 1) = -37 + -2p Reorder the terms: 5(1 + 8p) = -37 + -2p (1 * 5 + 8p * 5) = -37 + -2p (5 + 40p) = -37 + -2p Solving 5 + 40p = -37 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 5 + 40p + 2p = -37 + -2p + 2p Combine like terms: 40p + 2p = 42p 5 + 42p = -37 + -2p + 2p Combine like terms: -2p + 2p = 0 5 + 42p = -37 + 0 5 + 42p = -37 Add '-5' to each side of the equation. 5 + -5 + 42p = -37 + -5 Combine like terms: 5 + -5 = 0 0 + 42p = -37 + -5 42p = -37 + -5 Combine like terms: -37 + -5 = -42 42p = -42 Divide each side by '42'. p = -1 Simplifying p = -1
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