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Simplifying -4(-4 + 7p) = -5(5 + 5p) + 8 (-4 * -4 + 7p * -4) = -5(5 + 5p) + 8 (16 + -28p) = -5(5 + 5p) + 8 16 + -28p = (5 * -5 + 5p * -5) + 8 16 + -28p = (-25 + -25p) + 8 Reorder the terms: 16 + -28p = -25 + 8 + -25p Combine like terms: -25 + 8 = -17 16 + -28p = -17 + -25p Solving 16 + -28p = -17 + -25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '25p' to each side of the equation. 16 + -28p + 25p = -17 + -25p + 25p Combine like terms: -28p + 25p = -3p 16 + -3p = -17 + -25p + 25p Combine like terms: -25p + 25p = 0 16 + -3p = -17 + 0 16 + -3p = -17 Add '-16' to each side of the equation. 16 + -16 + -3p = -17 + -16 Combine like terms: 16 + -16 = 0 0 + -3p = -17 + -16 -3p = -17 + -16 Combine like terms: -17 + -16 = -33 -3p = -33 Divide each side by '-3'. p = 11 Simplifying p = 11
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