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Simplifying -45 + -15p = 12p + 42 Reorder the terms: -45 + -15p = 42 + 12p Solving -45 + -15p = 42 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -45 + -15p + -12p = 42 + 12p + -12p Combine like terms: -15p + -12p = -27p -45 + -27p = 42 + 12p + -12p Combine like terms: 12p + -12p = 0 -45 + -27p = 42 + 0 -45 + -27p = 42 Add '45' to each side of the equation. -45 + 45 + -27p = 42 + 45 Combine like terms: -45 + 45 = 0 0 + -27p = 42 + 45 -27p = 42 + 45 Combine like terms: 42 + 45 = 87 -27p = 87 Divide each side by '-27'. p = -3.222222222 Simplifying p = -3.222222222
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