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Simplifying -2p + -23 = -1(7p + 8) Reorder the terms: -23 + -2p = -1(7p + 8) Reorder the terms: -23 + -2p = -1(8 + 7p) -23 + -2p = (8 * -1 + 7p * -1) -23 + -2p = (-8 + -7p) Solving -23 + -2p = -8 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -23 + -2p + 7p = -8 + -7p + 7p Combine like terms: -2p + 7p = 5p -23 + 5p = -8 + -7p + 7p Combine like terms: -7p + 7p = 0 -23 + 5p = -8 + 0 -23 + 5p = -8 Add '23' to each side of the equation. -23 + 23 + 5p = -8 + 23 Combine like terms: -23 + 23 = 0 0 + 5p = -8 + 23 5p = -8 + 23 Combine like terms: -8 + 23 = 15 5p = 15 Divide each side by '5'. p = 3 Simplifying p = 3
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