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Simplifying -3(7p + 5) + -2(6 + -20p) = 3(5 + 6p) Reorder the terms: -3(5 + 7p) + -2(6 + -20p) = 3(5 + 6p) (5 * -3 + 7p * -3) + -2(6 + -20p) = 3(5 + 6p) (-15 + -21p) + -2(6 + -20p) = 3(5 + 6p) -15 + -21p + (6 * -2 + -20p * -2) = 3(5 + 6p) -15 + -21p + (-12 + 40p) = 3(5 + 6p) Reorder the terms: -15 + -12 + -21p + 40p = 3(5 + 6p) Combine like terms: -15 + -12 = -27 -27 + -21p + 40p = 3(5 + 6p) Combine like terms: -21p + 40p = 19p -27 + 19p = 3(5 + 6p) -27 + 19p = (5 * 3 + 6p * 3) -27 + 19p = (15 + 18p) Solving -27 + 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. -27 + 19p + -18p = 15 + 18p + -18p Combine like terms: 19p + -18p = 1p -27 + 1p = 15 + 18p + -18p Combine like terms: 18p + -18p = 0 -27 + 1p = 15 + 0 -27 + 1p = 15 Add '27' to each side of the equation. -27 + 27 + 1p = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 1p = 15 + 27 1p = 15 + 27 Combine like terms: 15 + 27 = 42 1p = 42 Divide each side by '1'. p = 42 Simplifying p = 42
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