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Simplifying (p + 35) + (4p + -40) + p = 1189 Reorder the terms: (35 + p) + (4p + -40) + p = 1189 Remove parenthesis around (35 + p) 35 + p + (4p + -40) + p = 1189 Reorder the terms: 35 + p + (-40 + 4p) + p = 1189 Remove parenthesis around (-40 + 4p) 35 + p + -40 + 4p + p = 1189 Reorder the terms: 35 + -40 + p + 4p + p = 1189 Combine like terms: 35 + -40 = -5 -5 + p + 4p + p = 1189 Combine like terms: p + 4p = 5p -5 + 5p + p = 1189 Combine like terms: 5p + p = 6p -5 + 6p = 1189 Solving -5 + 6p = 1189 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6p = 1189 + 5 Combine like terms: -5 + 5 = 0 0 + 6p = 1189 + 5 6p = 1189 + 5 Combine like terms: 1189 + 5 = 1194 6p = 1194 Divide each side by '6'. p = 199 Simplifying p = 199
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