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Simplifying 6(p + 5) + 3(2p + -5) = 0 Reorder the terms: 6(5 + p) + 3(2p + -5) = 0 (5 * 6 + p * 6) + 3(2p + -5) = 0 (30 + 6p) + 3(2p + -5) = 0 Reorder the terms: 30 + 6p + 3(-5 + 2p) = 0 30 + 6p + (-5 * 3 + 2p * 3) = 0 30 + 6p + (-15 + 6p) = 0 Reorder the terms: 30 + -15 + 6p + 6p = 0 Combine like terms: 30 + -15 = 15 15 + 6p + 6p = 0 Combine like terms: 6p + 6p = 12p 15 + 12p = 0 Solving 15 + 12p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 12p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 12p = 0 + -15 12p = 0 + -15 Combine like terms: 0 + -15 = -15 12p = -15 Divide each side by '12'. p = -1.25 Simplifying p = -1.25
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