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Simplifying -3(7p + 6) + -2(3 + -20p) = 3(5 + 6p) Reorder the terms: -3(6 + 7p) + -2(3 + -20p) = 3(5 + 6p) (6 * -3 + 7p * -3) + -2(3 + -20p) = 3(5 + 6p) (-18 + -21p) + -2(3 + -20p) = 3(5 + 6p) -18 + -21p + (3 * -2 + -20p * -2) = 3(5 + 6p) -18 + -21p + (-6 + 40p) = 3(5 + 6p) Reorder the terms: -18 + -6 + -21p + 40p = 3(5 + 6p) Combine like terms: -18 + -6 = -24 -24 + -21p + 40p = 3(5 + 6p) Combine like terms: -21p + 40p = 19p -24 + 19p = 3(5 + 6p) -24 + 19p = (5 * 3 + 6p * 3) -24 + 19p = (15 + 18p) Solving -24 + 19p = 15 + 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 = 15 + 18p + -18p Combine like terms: 19p + -18p = 1p -24 + 1p = 15 + 18p + -18p Combine like terms: 18p + -18p = 0 -24 + 1p = 15 + 0 -24 + 1p = 15 Add '24' to each side of the equation. -24 + 24 + 1p = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 1p = 15 + 24 1p = 15 + 24 Combine like terms: 15 + 24 = 39 1p = 39 Divide each side by '1'. p = 39 Simplifying p = 39
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