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Simplifying -3(7p + 3) + -2(5 + -20p) + -3(3 + 6p) = 0 Reorder the terms: -3(3 + 7p) + -2(5 + -20p) + -3(3 + 6p) = 0 (3 * -3 + 7p * -3) + -2(5 + -20p) + -3(3 + 6p) = 0 (-9 + -21p) + -2(5 + -20p) + -3(3 + 6p) = 0 -9 + -21p + (5 * -2 + -20p * -2) + -3(3 + 6p) = 0 -9 + -21p + (-10 + 40p) + -3(3 + 6p) = 0 -9 + -21p + -10 + 40p + (3 * -3 + 6p * -3) = 0 -9 + -21p + -10 + 40p + (-9 + -18p) = 0 Reorder the terms: -9 + -10 + -9 + -21p + 40p + -18p = 0 Combine like terms: -9 + -10 = -19 -19 + -9 + -21p + 40p + -18p = 0 Combine like terms: -19 + -9 = -28 -28 + -21p + 40p + -18p = 0 Combine like terms: -21p + 40p = 19p -28 + 19p + -18p = 0 Combine like terms: 19p + -18p = 1p -28 + 1p = 0 Solving -28 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 1p = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 1p = 0 + 28 1p = 0 + 28 Combine like terms: 0 + 28 = 28 1p = 28 Divide each side by '1'. p = 28 Simplifying p = 28
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