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Simplifying 10(2p + 5) = -15 + 7p Reorder the terms: 10(5 + 2p) = -15 + 7p (5 * 10 + 2p * 10) = -15 + 7p (50 + 20p) = -15 + 7p Solving 50 + 20p = -15 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 50 + 20p + -7p = -15 + 7p + -7p Combine like terms: 20p + -7p = 13p 50 + 13p = -15 + 7p + -7p Combine like terms: 7p + -7p = 0 50 + 13p = -15 + 0 50 + 13p = -15 Add '-50' to each side of the equation. 50 + -50 + 13p = -15 + -50 Combine like terms: 50 + -50 = 0 0 + 13p = -15 + -50 13p = -15 + -50 Combine like terms: -15 + -50 = -65 13p = -65 Divide each side by '13'. p = -5 Simplifying p = -5
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