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Simplifying -3(8p + 4) + -2(5 + -17p) = 3(1 + 3p) Reorder the terms: -3(4 + 8p) + -2(5 + -17p) = 3(1 + 3p) (4 * -3 + 8p * -3) + -2(5 + -17p) = 3(1 + 3p) (-12 + -24p) + -2(5 + -17p) = 3(1 + 3p) -12 + -24p + (5 * -2 + -17p * -2) = 3(1 + 3p) -12 + -24p + (-10 + 34p) = 3(1 + 3p) Reorder the terms: -12 + -10 + -24p + 34p = 3(1 + 3p) Combine like terms: -12 + -10 = -22 -22 + -24p + 34p = 3(1 + 3p) Combine like terms: -24p + 34p = 10p -22 + 10p = 3(1 + 3p) -22 + 10p = (1 * 3 + 3p * 3) -22 + 10p = (3 + 9p) Solving -22 + 10p = 3 + 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. -22 + 10p + -9p = 3 + 9p + -9p Combine like terms: 10p + -9p = 1p -22 + 1p = 3 + 9p + -9p Combine like terms: 9p + -9p = 0 -22 + 1p = 3 + 0 -22 + 1p = 3 Add '22' to each side of the equation. -22 + 22 + 1p = 3 + 22 Combine like terms: -22 + 22 = 0 0 + 1p = 3 + 22 1p = 3 + 22 Combine like terms: 3 + 22 = 25 1p = 25 Divide each side by '1'. p = 25 Simplifying p = 25
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