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Simplifying -3(5p + 4) + -2(1 + -11p) = 3(3 + 2p) Reorder the terms: -3(4 + 5p) + -2(1 + -11p) = 3(3 + 2p) (4 * -3 + 5p * -3) + -2(1 + -11p) = 3(3 + 2p) (-12 + -15p) + -2(1 + -11p) = 3(3 + 2p) -12 + -15p + (1 * -2 + -11p * -2) = 3(3 + 2p) -12 + -15p + (-2 + 22p) = 3(3 + 2p) Reorder the terms: -12 + -2 + -15p + 22p = 3(3 + 2p) Combine like terms: -12 + -2 = -14 -14 + -15p + 22p = 3(3 + 2p) Combine like terms: -15p + 22p = 7p -14 + 7p = 3(3 + 2p) -14 + 7p = (3 * 3 + 2p * 3) -14 + 7p = (9 + 6p) Solving -14 + 7p = 9 + 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. -14 + 7p + -6p = 9 + 6p + -6p Combine like terms: 7p + -6p = 1p -14 + 1p = 9 + 6p + -6p Combine like terms: 6p + -6p = 0 -14 + 1p = 9 + 0 -14 + 1p = 9 Add '14' to each side of the equation. -14 + 14 + 1p = 9 + 14 Combine like terms: -14 + 14 = 0 0 + 1p = 9 + 14 1p = 9 + 14 Combine like terms: 9 + 14 = 23 1p = 23 Divide each side by '1'. p = 23 Simplifying p = 23
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