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Simplifying 3(2p + 5) + -4(p + 3) = 0 Reorder the terms: 3(5 + 2p) + -4(p + 3) = 0 (5 * 3 + 2p * 3) + -4(p + 3) = 0 (15 + 6p) + -4(p + 3) = 0 Reorder the terms: 15 + 6p + -4(3 + p) = 0 15 + 6p + (3 * -4 + p * -4) = 0 15 + 6p + (-12 + -4p) = 0 Reorder the terms: 15 + -12 + 6p + -4p = 0 Combine like terms: 15 + -12 = 3 3 + 6p + -4p = 0 Combine like terms: 6p + -4p = 2p 3 + 2p = 0 Solving 3 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2p = 0 + -3 2p = 0 + -3 Combine like terms: 0 + -3 = -3 2p = -3 Divide each side by '2'. p = -1.5 Simplifying p = -1.5
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