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Simplifying 5(3p + 2) + -2(5p + -2) = 0 Reorder the terms: 5(2 + 3p) + -2(5p + -2) = 0 (2 * 5 + 3p * 5) + -2(5p + -2) = 0 (10 + 15p) + -2(5p + -2) = 0 Reorder the terms: 10 + 15p + -2(-2 + 5p) = 0 10 + 15p + (-2 * -2 + 5p * -2) = 0 10 + 15p + (4 + -10p) = 0 Reorder the terms: 10 + 4 + 15p + -10p = 0 Combine like terms: 10 + 4 = 14 14 + 15p + -10p = 0 Combine like terms: 15p + -10p = 5p 14 + 5p = 0 Solving 14 + 5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5p = 0 + -14 5p = 0 + -14 Combine like terms: 0 + -14 = -14 5p = -14 Divide each side by '5'. p = -2.8 Simplifying p = -2.8
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