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Simplifying -3(5p + 3) + -2(1 + -11p) = 3(9 + 2p) Reorder the terms: -3(3 + 5p) + -2(1 + -11p) = 3(9 + 2p) (3 * -3 + 5p * -3) + -2(1 + -11p) = 3(9 + 2p) (-9 + -15p) + -2(1 + -11p) = 3(9 + 2p) -9 + -15p + (1 * -2 + -11p * -2) = 3(9 + 2p) -9 + -15p + (-2 + 22p) = 3(9 + 2p) Reorder the terms: -9 + -2 + -15p + 22p = 3(9 + 2p) Combine like terms: -9 + -2 = -11 -11 + -15p + 22p = 3(9 + 2p) Combine like terms: -15p + 22p = 7p -11 + 7p = 3(9 + 2p) -11 + 7p = (9 * 3 + 2p * 3) -11 + 7p = (27 + 6p) Solving -11 + 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. -11 + 7p + -6p = 27 + 6p + -6p Combine like terms: 7p + -6p = 1p -11 + 1p = 27 + 6p + -6p Combine like terms: 6p + -6p = 0 -11 + 1p = 27 + 0 -11 + 1p = 27 Add '11' to each side of the equation. -11 + 11 + 1p = 27 + 11 Combine like terms: -11 + 11 = 0 0 + 1p = 27 + 11 1p = 27 + 11 Combine like terms: 27 + 11 = 38 1p = 38 Divide each side by '1'. p = 38 Simplifying p = 38
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