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Simplifying -3(5p + 6) + -2(3 + -11p) + -3(5 + 2p) = 0 Reorder the terms: -3(6 + 5p) + -2(3 + -11p) + -3(5 + 2p) = 0 (6 * -3 + 5p * -3) + -2(3 + -11p) + -3(5 + 2p) = 0 (-18 + -15p) + -2(3 + -11p) + -3(5 + 2p) = 0 -18 + -15p + (3 * -2 + -11p * -2) + -3(5 + 2p) = 0 -18 + -15p + (-6 + 22p) + -3(5 + 2p) = 0 -18 + -15p + -6 + 22p + (5 * -3 + 2p * -3) = 0 -18 + -15p + -6 + 22p + (-15 + -6p) = 0 Reorder the terms: -18 + -6 + -15 + -15p + 22p + -6p = 0 Combine like terms: -18 + -6 = -24 -24 + -15 + -15p + 22p + -6p = 0 Combine like terms: -24 + -15 = -39 -39 + -15p + 22p + -6p = 0 Combine like terms: -15p + 22p = 7p -39 + 7p + -6p = 0 Combine like terms: 7p + -6p = 1p -39 + 1p = 0 Solving -39 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 1p = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 1p = 0 + 39 1p = 0 + 39 Combine like terms: 0 + 39 = 39 1p = 39 Divide each side by '1'. p = 39 Simplifying p = 39
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