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Simplifying -5(-20 + 13p) = -4(15p + 10) (-20 * -5 + 13p * -5) = -4(15p + 10) (100 + -65p) = -4(15p + 10) Reorder the terms: 100 + -65p = -4(10 + 15p) 100 + -65p = (10 * -4 + 15p * -4) 100 + -65p = (-40 + -60p) Solving 100 + -65p = -40 + -60p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '60p' to each side of the equation. 100 + -65p + 60p = -40 + -60p + 60p Combine like terms: -65p + 60p = -5p 100 + -5p = -40 + -60p + 60p Combine like terms: -60p + 60p = 0 100 + -5p = -40 + 0 100 + -5p = -40 Add '-100' to each side of the equation. 100 + -100 + -5p = -40 + -100 Combine like terms: 100 + -100 = 0 0 + -5p = -40 + -100 -5p = -40 + -100 Combine like terms: -40 + -100 = -140 -5p = -140 Divide each side by '-5'. p = 28 Simplifying p = 28
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