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Simplifying -3(8p + 4) + -2(1 + -17p) = 3(6 + 3p) Reorder the terms: -3(4 + 8p) + -2(1 + -17p) = 3(6 + 3p) (4 * -3 + 8p * -3) + -2(1 + -17p) = 3(6 + 3p) (-12 + -24p) + -2(1 + -17p) = 3(6 + 3p) -12 + -24p + (1 * -2 + -17p * -2) = 3(6 + 3p) -12 + -24p + (-2 + 34p) = 3(6 + 3p) Reorder the terms: -12 + -2 + -24p + 34p = 3(6 + 3p) Combine like terms: -12 + -2 = -14 -14 + -24p + 34p = 3(6 + 3p) Combine like terms: -24p + 34p = 10p -14 + 10p = 3(6 + 3p) -14 + 10p = (6 * 3 + 3p * 3) -14 + 10p = (18 + 9p) Solving -14 + 10p = 18 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -14 + 10p + -9p = 18 + 9p + -9p Combine like terms: 10p + -9p = 1p -14 + 1p = 18 + 9p + -9p Combine like terms: 9p + -9p = 0 -14 + 1p = 18 + 0 -14 + 1p = 18 Add '14' to each side of the equation. -14 + 14 + 1p = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 1p = 18 + 14 1p = 18 + 14 Combine like terms: 18 + 14 = 32 1p = 32 Divide each side by '1'. p = 32 Simplifying p = 32
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