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Simplifying 15p + -7p + 2(p + -10) + 6(p + 7) = 0 Reorder the terms: 15p + -7p + 2(-10 + p) + 6(p + 7) = 0 15p + -7p + (-10 * 2 + p * 2) + 6(p + 7) = 0 15p + -7p + (-20 + 2p) + 6(p + 7) = 0 Reorder the terms: 15p + -7p + -20 + 2p + 6(7 + p) = 0 15p + -7p + -20 + 2p + (7 * 6 + p * 6) = 0 15p + -7p + -20 + 2p + (42 + 6p) = 0 Reorder the terms: -20 + 42 + 15p + -7p + 2p + 6p = 0 Combine like terms: -20 + 42 = 22 22 + 15p + -7p + 2p + 6p = 0 Combine like terms: 15p + -7p = 8p 22 + 8p + 2p + 6p = 0 Combine like terms: 8p + 2p = 10p 22 + 10p + 6p = 0 Combine like terms: 10p + 6p = 16p 22 + 16p = 0 Solving 22 + 16p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 16p = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 16p = 0 + -22 16p = 0 + -22 Combine like terms: 0 + -22 = -22 16p = -22 Divide each side by '16'. p = -1.375 Simplifying p = -1.375
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