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Simplifying -6 + 2(p + 7) = -20 + 6p Reorder the terms: -6 + 2(7 + p) = -20 + 6p -6 + (7 * 2 + p * 2) = -20 + 6p -6 + (14 + 2p) = -20 + 6p Combine like terms: -6 + 14 = 8 8 + 2p = -20 + 6p Solving 8 + 2p = -20 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 8 + 2p + -6p = -20 + 6p + -6p Combine like terms: 2p + -6p = -4p 8 + -4p = -20 + 6p + -6p Combine like terms: 6p + -6p = 0 8 + -4p = -20 + 0 8 + -4p = -20 Add '-8' to each side of the equation. 8 + -8 + -4p = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -4p = -20 + -8 -4p = -20 + -8 Combine like terms: -20 + -8 = -28 -4p = -28 Divide each side by '-4'. p = 7 Simplifying p = 7
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