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Simplifying 10(8p + -2) = -10(-6 + -7p) Reorder the terms: 10(-2 + 8p) = -10(-6 + -7p) (-2 * 10 + 8p * 10) = -10(-6 + -7p) (-20 + 80p) = -10(-6 + -7p) -20 + 80p = (-6 * -10 + -7p * -10) -20 + 80p = (60 + 70p) Solving -20 + 80p = 60 + 70p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-70p' to each side of the equation. -20 + 80p + -70p = 60 + 70p + -70p Combine like terms: 80p + -70p = 10p -20 + 10p = 60 + 70p + -70p Combine like terms: 70p + -70p = 0 -20 + 10p = 60 + 0 -20 + 10p = 60 Add '20' to each side of the equation. -20 + 20 + 10p = 60 + 20 Combine like terms: -20 + 20 = 0 0 + 10p = 60 + 20 10p = 60 + 20 Combine like terms: 60 + 20 = 80 10p = 80 Divide each side by '10'. p = 8 Simplifying p = 8
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