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Simplifying 178p + 12 = 108p + -13 + 78p Reorder the terms: 12 + 178p = 108p + -13 + 78p Reorder the terms: 12 + 178p = -13 + 108p + 78p Combine like terms: 108p + 78p = 186p 12 + 178p = -13 + 186p Solving 12 + 178p = -13 + 186p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-186p' to each side of the equation. 12 + 178p + -186p = -13 + 186p + -186p Combine like terms: 178p + -186p = -8p 12 + -8p = -13 + 186p + -186p Combine like terms: 186p + -186p = 0 12 + -8p = -13 + 0 12 + -8p = -13 Add '-12' to each side of the equation. 12 + -12 + -8p = -13 + -12 Combine like terms: 12 + -12 = 0 0 + -8p = -13 + -12 -8p = -13 + -12 Combine like terms: -13 + -12 = -25 -8p = -25 Divide each side by '-8'. p = 3.125 Simplifying p = 3.125
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