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Simplifying -3(7p + 2) + -2(3 + -20p) = 3(4 + 6p) Reorder the terms: -3(2 + 7p) + -2(3 + -20p) = 3(4 + 6p) (2 * -3 + 7p * -3) + -2(3 + -20p) = 3(4 + 6p) (-6 + -21p) + -2(3 + -20p) = 3(4 + 6p) -6 + -21p + (3 * -2 + -20p * -2) = 3(4 + 6p) -6 + -21p + (-6 + 40p) = 3(4 + 6p) Reorder the terms: -6 + -6 + -21p + 40p = 3(4 + 6p) Combine like terms: -6 + -6 = -12 -12 + -21p + 40p = 3(4 + 6p) Combine like terms: -21p + 40p = 19p -12 + 19p = 3(4 + 6p) -12 + 19p = (4 * 3 + 6p * 3) -12 + 19p = (12 + 18p) Solving -12 + 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. -12 + 19p + -18p = 12 + 18p + -18p Combine like terms: 19p + -18p = 1p -12 + 1p = 12 + 18p + -18p Combine like terms: 18p + -18p = 0 -12 + 1p = 12 + 0 -12 + 1p = 12 Add '12' to each side of the equation. -12 + 12 + 1p = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 1p = 12 + 12 1p = 12 + 12 Combine like terms: 12 + 12 = 24 1p = 24 Divide each side by '1'. p = 24 Simplifying p = 24
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