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Simplifying 12 + -5p = 3p + 8 + -7 Reorder the terms: 12 + -5p = 8 + -7 + 3p Combine like terms: 8 + -7 = 1 12 + -5p = 1 + 3p Solving 12 + -5p = 1 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 12 + -5p + -3p = 1 + 3p + -3p Combine like terms: -5p + -3p = -8p 12 + -8p = 1 + 3p + -3p Combine like terms: 3p + -3p = 0 12 + -8p = 1 + 0 12 + -8p = 1 Add '-12' to each side of the equation. 12 + -12 + -8p = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -8p = 1 + -12 -8p = 1 + -12 Combine like terms: 1 + -12 = -11 -8p = -11 Divide each side by '-8'. p = 1.375 Simplifying p = 1.375
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