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Simplifying -7 + 2(3 + p) = 23 + 6p -7 + (3 * 2 + p * 2) = 23 + 6p -7 + (6 + 2p) = 23 + 6p Combine like terms: -7 + 6 = -1 -1 + 2p = 23 + 6p Solving -1 + 2p = 23 + 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. -1 + 2p + -6p = 23 + 6p + -6p Combine like terms: 2p + -6p = -4p -1 + -4p = 23 + 6p + -6p Combine like terms: 6p + -6p = 0 -1 + -4p = 23 + 0 -1 + -4p = 23 Add '1' to each side of the equation. -1 + 1 + -4p = 23 + 1 Combine like terms: -1 + 1 = 0 0 + -4p = 23 + 1 -4p = 23 + 1 Combine like terms: 23 + 1 = 24 -4p = 24 Divide each side by '-4'. p = -6 Simplifying p = -6
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