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Simplifying -3(8p + 2) + -2(2 + -17p) = 3(7 + 3p) Reorder the terms: -3(2 + 8p) + -2(2 + -17p) = 3(7 + 3p) (2 * -3 + 8p * -3) + -2(2 + -17p) = 3(7 + 3p) (-6 + -24p) + -2(2 + -17p) = 3(7 + 3p) -6 + -24p + (2 * -2 + -17p * -2) = 3(7 + 3p) -6 + -24p + (-4 + 34p) = 3(7 + 3p) Reorder the terms: -6 + -4 + -24p + 34p = 3(7 + 3p) Combine like terms: -6 + -4 = -10 -10 + -24p + 34p = 3(7 + 3p) Combine like terms: -24p + 34p = 10p -10 + 10p = 3(7 + 3p) -10 + 10p = (7 * 3 + 3p * 3) -10 + 10p = (21 + 9p) Solving -10 + 10p = 21 + 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. -10 + 10p + -9p = 21 + 9p + -9p Combine like terms: 10p + -9p = 1p -10 + 1p = 21 + 9p + -9p Combine like terms: 9p + -9p = 0 -10 + 1p = 21 + 0 -10 + 1p = 21 Add '10' to each side of the equation. -10 + 10 + 1p = 21 + 10 Combine like terms: -10 + 10 = 0 0 + 1p = 21 + 10 1p = 21 + 10 Combine like terms: 21 + 10 = 31 1p = 31 Divide each side by '1'. p = 31 Simplifying p = 31
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