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Simplifying 2p + 4 = 7(p + -2) + p Reorder the terms: 4 + 2p = 7(p + -2) + p Reorder the terms: 4 + 2p = 7(-2 + p) + p 4 + 2p = (-2 * 7 + p * 7) + p 4 + 2p = (-14 + 7p) + p Combine like terms: 7p + p = 8p 4 + 2p = -14 + 8p Solving 4 + 2p = -14 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 4 + 2p + -8p = -14 + 8p + -8p Combine like terms: 2p + -8p = -6p 4 + -6p = -14 + 8p + -8p Combine like terms: 8p + -8p = 0 4 + -6p = -14 + 0 4 + -6p = -14 Add '-4' to each side of the equation. 4 + -4 + -6p = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -6p = -14 + -4 -6p = -14 + -4 Combine like terms: -14 + -4 = -18 -6p = -18 Divide each side by '-6'. p = 3 Simplifying p = 3
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