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Simplifying -3(5p + 5) + -2(6 + -11p) = 3(2 + 2p) Reorder the terms: -3(5 + 5p) + -2(6 + -11p) = 3(2 + 2p) (5 * -3 + 5p * -3) + -2(6 + -11p) = 3(2 + 2p) (-15 + -15p) + -2(6 + -11p) = 3(2 + 2p) -15 + -15p + (6 * -2 + -11p * -2) = 3(2 + 2p) -15 + -15p + (-12 + 22p) = 3(2 + 2p) Reorder the terms: -15 + -12 + -15p + 22p = 3(2 + 2p) Combine like terms: -15 + -12 = -27 -27 + -15p + 22p = 3(2 + 2p) Combine like terms: -15p + 22p = 7p -27 + 7p = 3(2 + 2p) -27 + 7p = (2 * 3 + 2p * 3) -27 + 7p = (6 + 6p) Solving -27 + 7p = 6 + 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. -27 + 7p + -6p = 6 + 6p + -6p Combine like terms: 7p + -6p = 1p -27 + 1p = 6 + 6p + -6p Combine like terms: 6p + -6p = 0 -27 + 1p = 6 + 0 -27 + 1p = 6 Add '27' to each side of the equation. -27 + 27 + 1p = 6 + 27 Combine like terms: -27 + 27 = 0 0 + 1p = 6 + 27 1p = 6 + 27 Combine like terms: 6 + 27 = 33 1p = 33 Divide each side by '1'. p = 33 Simplifying p = 33
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