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Simplifying -3(5p + 6) + -2(3 + -17p) = 3(9 + 6p) Reorder the terms: -3(6 + 5p) + -2(3 + -17p) = 3(9 + 6p) (6 * -3 + 5p * -3) + -2(3 + -17p) = 3(9 + 6p) (-18 + -15p) + -2(3 + -17p) = 3(9 + 6p) -18 + -15p + (3 * -2 + -17p * -2) = 3(9 + 6p) -18 + -15p + (-6 + 34p) = 3(9 + 6p) Reorder the terms: -18 + -6 + -15p + 34p = 3(9 + 6p) Combine like terms: -18 + -6 = -24 -24 + -15p + 34p = 3(9 + 6p) Combine like terms: -15p + 34p = 19p -24 + 19p = 3(9 + 6p) -24 + 19p = (9 * 3 + 6p * 3) -24 + 19p = (27 + 18p) Solving -24 + 19p = 27 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -24 + 19p + -18p = 27 + 18p + -18p Combine like terms: 19p + -18p = 1p -24 + 1p = 27 + 18p + -18p Combine like terms: 18p + -18p = 0 -24 + 1p = 27 + 0 -24 + 1p = 27 Add '24' to each side of the equation. -24 + 24 + 1p = 27 + 24 Combine like terms: -24 + 24 = 0 0 + 1p = 27 + 24 1p = 27 + 24 Combine like terms: 27 + 24 = 51 1p = 51 Divide each side by '1'. p = 51 Simplifying p = 51
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