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Simplifying -1p + -13 = 15 + 12p + -2 Reorder the terms: -13 + -1p = 15 + 12p + -2 Reorder the terms: -13 + -1p = 15 + -2 + 12p Combine like terms: 15 + -2 = 13 -13 + -1p = 13 + 12p Solving -13 + -1p = 13 + 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. -13 + -1p + -12p = 13 + 12p + -12p Combine like terms: -1p + -12p = -13p -13 + -13p = 13 + 12p + -12p Combine like terms: 12p + -12p = 0 -13 + -13p = 13 + 0 -13 + -13p = 13 Add '13' to each side of the equation. -13 + 13 + -13p = 13 + 13 Combine like terms: -13 + 13 = 0 0 + -13p = 13 + 13 -13p = 13 + 13 Combine like terms: 13 + 13 = 26 -13p = 26 Divide each side by '-13'. p = -2 Simplifying p = -2
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