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Simplifying 5(10 + -2p) + 6(7p + 9) = 0 (10 * 5 + -2p * 5) + 6(7p + 9) = 0 (50 + -10p) + 6(7p + 9) = 0 Reorder the terms: 50 + -10p + 6(9 + 7p) = 0 50 + -10p + (9 * 6 + 7p * 6) = 0 50 + -10p + (54 + 42p) = 0 Reorder the terms: 50 + 54 + -10p + 42p = 0 Combine like terms: 50 + 54 = 104 104 + -10p + 42p = 0 Combine like terms: -10p + 42p = 32p 104 + 32p = 0 Solving 104 + 32p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -104 + 32p = 0 + -104 Combine like terms: 104 + -104 = 0 0 + 32p = 0 + -104 32p = 0 + -104 Combine like terms: 0 + -104 = -104 32p = -104 Divide each side by '32'. p = -3.25 Simplifying p = -3.25
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