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Simplifying p + -83 = 3p + 7 Reorder the terms: -83 + p = 3p + 7 Reorder the terms: -83 + p = 7 + 3p Solving -83 + p = 7 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -83 + p + -3p = 7 + 3p + -3p Combine like terms: p + -3p = -2p -83 + -2p = 7 + 3p + -3p Combine like terms: 3p + -3p = 0 -83 + -2p = 7 + 0 -83 + -2p = 7 Add '83' to each side of the equation. -83 + 83 + -2p = 7 + 83 Combine like terms: -83 + 83 = 0 0 + -2p = 7 + 83 -2p = 7 + 83 Combine like terms: 7 + 83 = 90 -2p = 90 Divide each side by '-2'. p = -45 Simplifying p = -45
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