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Simplifying -3(8p + 6) + -2(1 + -17p) = 3(7 + 3p) Reorder the terms: -3(6 + 8p) + -2(1 + -17p) = 3(7 + 3p) (6 * -3 + 8p * -3) + -2(1 + -17p) = 3(7 + 3p) (-18 + -24p) + -2(1 + -17p) = 3(7 + 3p) -18 + -24p + (1 * -2 + -17p * -2) = 3(7 + 3p) -18 + -24p + (-2 + 34p) = 3(7 + 3p) Reorder the terms: -18 + -2 + -24p + 34p = 3(7 + 3p) Combine like terms: -18 + -2 = -20 -20 + -24p + 34p = 3(7 + 3p) Combine like terms: -24p + 34p = 10p -20 + 10p = 3(7 + 3p) -20 + 10p = (7 * 3 + 3p * 3) -20 + 10p = (21 + 9p) Solving -20 + 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. -20 + 10p + -9p = 21 + 9p + -9p Combine like terms: 10p + -9p = 1p -20 + 1p = 21 + 9p + -9p Combine like terms: 9p + -9p = 0 -20 + 1p = 21 + 0 -20 + 1p = 21 Add '20' to each side of the equation. -20 + 20 + 1p = 21 + 20 Combine like terms: -20 + 20 = 0 0 + 1p = 21 + 20 1p = 21 + 20 Combine like terms: 21 + 20 = 41 1p = 41 Divide each side by '1'. p = 41 Simplifying p = 41
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