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Simplifying 5(-8p + -8) = 2(5p + 5) Reorder the terms: 5(-8 + -8p) = 2(5p + 5) (-8 * 5 + -8p * 5) = 2(5p + 5) (-40 + -40p) = 2(5p + 5) Reorder the terms: -40 + -40p = 2(5 + 5p) -40 + -40p = (5 * 2 + 5p * 2) -40 + -40p = (10 + 10p) Solving -40 + -40p = 10 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -40 + -40p + -10p = 10 + 10p + -10p Combine like terms: -40p + -10p = -50p -40 + -50p = 10 + 10p + -10p Combine like terms: 10p + -10p = 0 -40 + -50p = 10 + 0 -40 + -50p = 10 Add '40' to each side of the equation. -40 + 40 + -50p = 10 + 40 Combine like terms: -40 + 40 = 0 0 + -50p = 10 + 40 -50p = 10 + 40 Combine like terms: 10 + 40 = 50 -50p = 50 Divide each side by '-50'. p = -1 Simplifying p = -1
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