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Simplifying -122 = -8(7p + 8) + -2p Reorder the terms: -122 = -8(8 + 7p) + -2p -122 = (8 * -8 + 7p * -8) + -2p -122 = (-64 + -56p) + -2p Combine like terms: -56p + -2p = -58p -122 = -64 + -58p Solving -122 = -64 + -58p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '58p' to each side of the equation. -122 + 58p = -64 + -58p + 58p Combine like terms: -58p + 58p = 0 -122 + 58p = -64 + 0 -122 + 58p = -64 Add '122' to each side of the equation. -122 + 122 + 58p = -64 + 122 Combine like terms: -122 + 122 = 0 0 + 58p = -64 + 122 58p = -64 + 122 Combine like terms: -64 + 122 = 58 58p = 58 Divide each side by '58'. p = 1 Simplifying p = 1
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