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Simplifying -23 + -56 = 3(2p + 7) + 2 Combine like terms: -23 + -56 = -79 -79 = 3(2p + 7) + 2 Reorder the terms: -79 = 3(7 + 2p) + 2 -79 = (7 * 3 + 2p * 3) + 2 -79 = (21 + 6p) + 2 Reorder the terms: -79 = 21 + 2 + 6p Combine like terms: 21 + 2 = 23 -79 = 23 + 6p Solving -79 = 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. -79 + -6p = 23 + 6p + -6p Combine like terms: 6p + -6p = 0 -79 + -6p = 23 + 0 -79 + -6p = 23 Add '79' to each side of the equation. -79 + 79 + -6p = 23 + 79 Combine like terms: -79 + 79 = 0 0 + -6p = 23 + 79 -6p = 23 + 79 Combine like terms: 23 + 79 = 102 -6p = 102 Divide each side by '-6'. p = -17 Simplifying p = -17
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