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Simplifying -17.89 + 19.4p = 16.9p + 15.5 + 7.8p Reorder the terms: -17.89 + 19.4p = 15.5 + 16.9p + 7.8p Combine like terms: 16.9p + 7.8p = 24.7p -17.89 + 19.4p = 15.5 + 24.7p Solving -17.89 + 19.4p = 15.5 + 24.7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24.7p' to each side of the equation. -17.89 + 19.4p + -24.7p = 15.5 + 24.7p + -24.7p Combine like terms: 19.4p + -24.7p = -5.3p -17.89 + -5.3p = 15.5 + 24.7p + -24.7p Combine like terms: 24.7p + -24.7p = 0.0 -17.89 + -5.3p = 15.5 + 0.0 -17.89 + -5.3p = 15.5 Add '17.89' to each side of the equation. -17.89 + 17.89 + -5.3p = 15.5 + 17.89 Combine like terms: -17.89 + 17.89 = 0.00 0.00 + -5.3p = 15.5 + 17.89 -5.3p = 15.5 + 17.89 Combine like terms: 15.5 + 17.89 = 33.39 -5.3p = 33.39 Divide each side by '-5.3'. p = -6.3 Simplifying p = -6.3
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