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Simplifying -3(8p + 6) + -2(6 + -17p) = 0 Reorder the terms: -3(6 + 8p) + -2(6 + -17p) = 0 (6 * -3 + 8p * -3) + -2(6 + -17p) = 0 (-18 + -24p) + -2(6 + -17p) = 0 -18 + -24p + (6 * -2 + -17p * -2) = 0 -18 + -24p + (-12 + 34p) = 0 Reorder the terms: -18 + -12 + -24p + 34p = 0 Combine like terms: -18 + -12 = -30 -30 + -24p + 34p = 0 Combine like terms: -24p + 34p = 10p -30 + 10p = 0 Solving -30 + 10p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 10p = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 10p = 0 + 30 10p = 0 + 30 Combine like terms: 0 + 30 = 30 10p = 30 Divide each side by '10'. p = 3 Simplifying p = 3
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