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Simplifying 10(p + 5) + -8(p + -3) = 0 Reorder the terms: 10(5 + p) + -8(p + -3) = 0 (5 * 10 + p * 10) + -8(p + -3) = 0 (50 + 10p) + -8(p + -3) = 0 Reorder the terms: 50 + 10p + -8(-3 + p) = 0 50 + 10p + (-3 * -8 + p * -8) = 0 50 + 10p + (24 + -8p) = 0 Reorder the terms: 50 + 24 + 10p + -8p = 0 Combine like terms: 50 + 24 = 74 74 + 10p + -8p = 0 Combine like terms: 10p + -8p = 2p 74 + 2p = 0 Solving 74 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + 2p = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 2p = 0 + -74 2p = 0 + -74 Combine like terms: 0 + -74 = -74 2p = -74 Divide each side by '2'. p = -37 Simplifying p = -37
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