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Simplifying -118 = -10(2p + -8) + 2 Reorder the terms: -118 = -10(-8 + 2p) + 2 -118 = (-8 * -10 + 2p * -10) + 2 -118 = (80 + -20p) + 2 Reorder the terms: -118 = 80 + 2 + -20p Combine like terms: 80 + 2 = 82 -118 = 82 + -20p Solving -118 = 82 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. -118 + 20p = 82 + -20p + 20p Combine like terms: -20p + 20p = 0 -118 + 20p = 82 + 0 -118 + 20p = 82 Add '118' to each side of the equation. -118 + 118 + 20p = 82 + 118 Combine like terms: -118 + 118 = 0 0 + 20p = 82 + 118 20p = 82 + 118 Combine like terms: 82 + 118 = 200 20p = 200 Divide each side by '20'. p = 10 Simplifying p = 10
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