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Simplifying 113 = 7(2 + -2p) + 1 113 = (2 * 7 + -2p * 7) + 1 113 = (14 + -14p) + 1 Reorder the terms: 113 = 14 + 1 + -14p Combine like terms: 14 + 1 = 15 113 = 15 + -14p Solving 113 = 15 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. 113 + 14p = 15 + -14p + 14p Combine like terms: -14p + 14p = 0 113 + 14p = 15 + 0 113 + 14p = 15 Add '-113' to each side of the equation. 113 + -113 + 14p = 15 + -113 Combine like terms: 113 + -113 = 0 0 + 14p = 15 + -113 14p = 15 + -113 Combine like terms: 15 + -113 = -98 14p = -98 Divide each side by '14'. p = -7 Simplifying p = -7
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