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Simplifying -5(3p + -5) = 4(p + 8) Reorder the terms: -5(-5 + 3p) = 4(p + 8) (-5 * -5 + 3p * -5) = 4(p + 8) (25 + -15p) = 4(p + 8) Reorder the terms: 25 + -15p = 4(8 + p) 25 + -15p = (8 * 4 + p * 4) 25 + -15p = (32 + 4p) Solving 25 + -15p = 32 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 25 + -15p + -4p = 32 + 4p + -4p Combine like terms: -15p + -4p = -19p 25 + -19p = 32 + 4p + -4p Combine like terms: 4p + -4p = 0 25 + -19p = 32 + 0 25 + -19p = 32 Add '-25' to each side of the equation. 25 + -25 + -19p = 32 + -25 Combine like terms: 25 + -25 = 0 0 + -19p = 32 + -25 -19p = 32 + -25 Combine like terms: 32 + -25 = 7 -19p = 7 Divide each side by '-19'. p = -0.3684210526 Simplifying p = -0.3684210526
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