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Simplifying -5(4 + -3p) + 8p = 8(3p + -1) + -1 (4 * -5 + -3p * -5) + 8p = 8(3p + -1) + -1 (-20 + 15p) + 8p = 8(3p + -1) + -1 Combine like terms: 15p + 8p = 23p -20 + 23p = 8(3p + -1) + -1 Reorder the terms: -20 + 23p = 8(-1 + 3p) + -1 -20 + 23p = (-1 * 8 + 3p * 8) + -1 -20 + 23p = (-8 + 24p) + -1 Reorder the terms: -20 + 23p = -8 + -1 + 24p Combine like terms: -8 + -1 = -9 -20 + 23p = -9 + 24p Solving -20 + 23p = -9 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -20 + 23p + -24p = -9 + 24p + -24p Combine like terms: 23p + -24p = -1p -20 + -1p = -9 + 24p + -24p Combine like terms: 24p + -24p = 0 -20 + -1p = -9 + 0 -20 + -1p = -9 Add '20' to each side of the equation. -20 + 20 + -1p = -9 + 20 Combine like terms: -20 + 20 = 0 0 + -1p = -9 + 20 -1p = -9 + 20 Combine like terms: -9 + 20 = 11 -1p = 11 Divide each side by '-1'. p = -11 Simplifying p = -11
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