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Simplifying -3(5p + 2) + -2(6 + -11p) = 3(9 + 2p) Reorder the terms: -3(2 + 5p) + -2(6 + -11p) = 3(9 + 2p) (2 * -3 + 5p * -3) + -2(6 + -11p) = 3(9 + 2p) (-6 + -15p) + -2(6 + -11p) = 3(9 + 2p) -6 + -15p + (6 * -2 + -11p * -2) = 3(9 + 2p) -6 + -15p + (-12 + 22p) = 3(9 + 2p) Reorder the terms: -6 + -12 + -15p + 22p = 3(9 + 2p) Combine like terms: -6 + -12 = -18 -18 + -15p + 22p = 3(9 + 2p) Combine like terms: -15p + 22p = 7p -18 + 7p = 3(9 + 2p) -18 + 7p = (9 * 3 + 2p * 3) -18 + 7p = (27 + 6p) Solving -18 + 7p = 27 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -18 + 7p + -6p = 27 + 6p + -6p Combine like terms: 7p + -6p = 1p -18 + 1p = 27 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + 1p = 27 + 0 -18 + 1p = 27 Add '18' to each side of the equation. -18 + 18 + 1p = 27 + 18 Combine like terms: -18 + 18 = 0 0 + 1p = 27 + 18 1p = 27 + 18 Combine like terms: 27 + 18 = 45 1p = 45 Divide each side by '1'. p = 45 Simplifying p = 45
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