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Simplifying (p + 29) + (4p + -34) + p = 1153 Reorder the terms: (29 + p) + (4p + -34) + p = 1153 Remove parenthesis around (29 + p) 29 + p + (4p + -34) + p = 1153 Reorder the terms: 29 + p + (-34 + 4p) + p = 1153 Remove parenthesis around (-34 + 4p) 29 + p + -34 + 4p + p = 1153 Reorder the terms: 29 + -34 + p + 4p + p = 1153 Combine like terms: 29 + -34 = -5 -5 + p + 4p + p = 1153 Combine like terms: p + 4p = 5p -5 + 5p + p = 1153 Combine like terms: 5p + p = 6p -5 + 6p = 1153 Solving -5 + 6p = 1153 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 = 1153 + 5 Combine like terms: -5 + 5 = 0 0 + 6p = 1153 + 5 6p = 1153 + 5 Combine like terms: 1153 + 5 = 1158 6p = 1158 Divide each side by '6'. p = 193 Simplifying p = 193
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