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Simplifying -3(7p + 2) + -2(1 + -20p) + -3(5 + 6p) = 0 Reorder the terms: -3(2 + 7p) + -2(1 + -20p) + -3(5 + 6p) = 0 (2 * -3 + 7p * -3) + -2(1 + -20p) + -3(5 + 6p) = 0 (-6 + -21p) + -2(1 + -20p) + -3(5 + 6p) = 0 -6 + -21p + (1 * -2 + -20p * -2) + -3(5 + 6p) = 0 -6 + -21p + (-2 + 40p) + -3(5 + 6p) = 0 -6 + -21p + -2 + 40p + (5 * -3 + 6p * -3) = 0 -6 + -21p + -2 + 40p + (-15 + -18p) = 0 Reorder the terms: -6 + -2 + -15 + -21p + 40p + -18p = 0 Combine like terms: -6 + -2 = -8 -8 + -15 + -21p + 40p + -18p = 0 Combine like terms: -8 + -15 = -23 -23 + -21p + 40p + -18p = 0 Combine like terms: -21p + 40p = 19p -23 + 19p + -18p = 0 Combine like terms: 19p + -18p = 1p -23 + 1p = 0 Solving -23 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1p = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1p = 0 + 23 1p = 0 + 23 Combine like terms: 0 + 23 = 23 1p = 23 Divide each side by '1'. p = 23 Simplifying p = 23
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