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Simplifying -3(7p + 6) + -2(5 + -20p) = 3(4 + 6p) Reorder the terms: -3(6 + 7p) + -2(5 + -20p) = 3(4 + 6p) (6 * -3 + 7p * -3) + -2(5 + -20p) = 3(4 + 6p) (-18 + -21p) + -2(5 + -20p) = 3(4 + 6p) -18 + -21p + (5 * -2 + -20p * -2) = 3(4 + 6p) -18 + -21p + (-10 + 40p) = 3(4 + 6p) Reorder the terms: -18 + -10 + -21p + 40p = 3(4 + 6p) Combine like terms: -18 + -10 = -28 -28 + -21p + 40p = 3(4 + 6p) Combine like terms: -21p + 40p = 19p -28 + 19p = 3(4 + 6p) -28 + 19p = (4 * 3 + 6p * 3) -28 + 19p = (12 + 18p) Solving -28 + 19p = 12 + 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. -28 + 19p + -18p = 12 + 18p + -18p Combine like terms: 19p + -18p = 1p -28 + 1p = 12 + 18p + -18p Combine like terms: 18p + -18p = 0 -28 + 1p = 12 + 0 -28 + 1p = 12 Add '28' to each side of the equation. -28 + 28 + 1p = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 1p = 12 + 28 1p = 12 + 28 Combine like terms: 12 + 28 = 40 1p = 40 Divide each side by '1'. p = 40 Simplifying p = 40
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