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Simplifying -3(8p + 4) + -2(2 + -17p) = 3(2 + 3p) Reorder the terms: -3(4 + 8p) + -2(2 + -17p) = 3(2 + 3p) (4 * -3 + 8p * -3) + -2(2 + -17p) = 3(2 + 3p) (-12 + -24p) + -2(2 + -17p) = 3(2 + 3p) -12 + -24p + (2 * -2 + -17p * -2) = 3(2 + 3p) -12 + -24p + (-4 + 34p) = 3(2 + 3p) Reorder the terms: -12 + -4 + -24p + 34p = 3(2 + 3p) Combine like terms: -12 + -4 = -16 -16 + -24p + 34p = 3(2 + 3p) Combine like terms: -24p + 34p = 10p -16 + 10p = 3(2 + 3p) -16 + 10p = (2 * 3 + 3p * 3) -16 + 10p = (6 + 9p) Solving -16 + 10p = 6 + 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. -16 + 10p + -9p = 6 + 9p + -9p Combine like terms: 10p + -9p = 1p -16 + 1p = 6 + 9p + -9p Combine like terms: 9p + -9p = 0 -16 + 1p = 6 + 0 -16 + 1p = 6 Add '16' to each side of the equation. -16 + 16 + 1p = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 1p = 6 + 16 1p = 6 + 16 Combine like terms: 6 + 16 = 22 1p = 22 Divide each side by '1'. p = 22 Simplifying p = 22
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