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Simplifying 12 + -5p = 3p + 8 + -7p Reorder the terms: 12 + -5p = 8 + 3p + -7p Combine like terms: 3p + -7p = -4p 12 + -5p = 8 + -4p Solving 12 + -5p = 8 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 12 + -5p + 4p = 8 + -4p + 4p Combine like terms: -5p + 4p = -1p 12 + -1p = 8 + -4p + 4p Combine like terms: -4p + 4p = 0 12 + -1p = 8 + 0 12 + -1p = 8 Add '-12' to each side of the equation. 12 + -12 + -1p = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -1p = 8 + -12 -1p = 8 + -12 Combine like terms: 8 + -12 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4
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