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Simplifying -3(8p + 2) + -2(4 + -23p) + -3(7 + 7p) = 0 Reorder the terms: -3(2 + 8p) + -2(4 + -23p) + -3(7 + 7p) = 0 (2 * -3 + 8p * -3) + -2(4 + -23p) + -3(7 + 7p) = 0 (-6 + -24p) + -2(4 + -23p) + -3(7 + 7p) = 0 -6 + -24p + (4 * -2 + -23p * -2) + -3(7 + 7p) = 0 -6 + -24p + (-8 + 46p) + -3(7 + 7p) = 0 -6 + -24p + -8 + 46p + (7 * -3 + 7p * -3) = 0 -6 + -24p + -8 + 46p + (-21 + -21p) = 0 Reorder the terms: -6 + -8 + -21 + -24p + 46p + -21p = 0 Combine like terms: -6 + -8 = -14 -14 + -21 + -24p + 46p + -21p = 0 Combine like terms: -14 + -21 = -35 -35 + -24p + 46p + -21p = 0 Combine like terms: -24p + 46p = 22p -35 + 22p + -21p = 0 Combine like terms: 22p + -21p = 1p -35 + 1p = 0 Solving -35 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 1p = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 1p = 0 + 35 1p = 0 + 35 Combine like terms: 0 + 35 = 35 1p = 35 Divide each side by '1'. p = 35 Simplifying p = 35
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