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Simplifying 15p + 57 = 27p + 45 Reorder the terms: 57 + 15p = 27p + 45 Reorder the terms: 57 + 15p = 45 + 27p Solving 57 + 15p = 45 + 27p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-27p' to each side of the equation. 57 + 15p + -27p = 45 + 27p + -27p Combine like terms: 15p + -27p = -12p 57 + -12p = 45 + 27p + -27p Combine like terms: 27p + -27p = 0 57 + -12p = 45 + 0 57 + -12p = 45 Add '-57' to each side of the equation. 57 + -57 + -12p = 45 + -57 Combine like terms: 57 + -57 = 0 0 + -12p = 45 + -57 -12p = 45 + -57 Combine like terms: 45 + -57 = -12 -12p = -12 Divide each side by '-12'. p = 1 Simplifying p = 1
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