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Simplifying -3(8p + 3) + -2(2 + -17p) = 3(7 + 3p) Reorder the terms: -3(3 + 8p) + -2(2 + -17p) = 3(7 + 3p) (3 * -3 + 8p * -3) + -2(2 + -17p) = 3(7 + 3p) (-9 + -24p) + -2(2 + -17p) = 3(7 + 3p) -9 + -24p + (2 * -2 + -17p * -2) = 3(7 + 3p) -9 + -24p + (-4 + 34p) = 3(7 + 3p) Reorder the terms: -9 + -4 + -24p + 34p = 3(7 + 3p) Combine like terms: -9 + -4 = -13 -13 + -24p + 34p = 3(7 + 3p) Combine like terms: -24p + 34p = 10p -13 + 10p = 3(7 + 3p) -13 + 10p = (7 * 3 + 3p * 3) -13 + 10p = (21 + 9p) Solving -13 + 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. -13 + 10p + -9p = 21 + 9p + -9p Combine like terms: 10p + -9p = 1p -13 + 1p = 21 + 9p + -9p Combine like terms: 9p + -9p = 0 -13 + 1p = 21 + 0 -13 + 1p = 21 Add '13' to each side of the equation. -13 + 13 + 1p = 21 + 13 Combine like terms: -13 + 13 = 0 0 + 1p = 21 + 13 1p = 21 + 13 Combine like terms: 21 + 13 = 34 1p = 34 Divide each side by '1'. p = 34 Simplifying p = 34
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