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Simplifying -7p + 3 = 5(3p + 5) + -6(-10 + 4p) Reorder the terms: 3 + -7p = 5(3p + 5) + -6(-10 + 4p) Reorder the terms: 3 + -7p = 5(5 + 3p) + -6(-10 + 4p) 3 + -7p = (5 * 5 + 3p * 5) + -6(-10 + 4p) 3 + -7p = (25 + 15p) + -6(-10 + 4p) 3 + -7p = 25 + 15p + (-10 * -6 + 4p * -6) 3 + -7p = 25 + 15p + (60 + -24p) Reorder the terms: 3 + -7p = 25 + 60 + 15p + -24p Combine like terms: 25 + 60 = 85 3 + -7p = 85 + 15p + -24p Combine like terms: 15p + -24p = -9p 3 + -7p = 85 + -9p Solving 3 + -7p = 85 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 3 + -7p + 9p = 85 + -9p + 9p Combine like terms: -7p + 9p = 2p 3 + 2p = 85 + -9p + 9p Combine like terms: -9p + 9p = 0 3 + 2p = 85 + 0 3 + 2p = 85 Add '-3' to each side of the equation. 3 + -3 + 2p = 85 + -3 Combine like terms: 3 + -3 = 0 0 + 2p = 85 + -3 2p = 85 + -3 Combine like terms: 85 + -3 = 82 2p = 82 Divide each side by '2'. p = 41 Simplifying p = 41
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