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Simplifying 6p + 7p + -12 = 3 + 1p + 8 Reorder the terms: -12 + 6p + 7p = 3 + 1p + 8 Combine like terms: 6p + 7p = 13p -12 + 13p = 3 + 1p + 8 Reorder the terms: -12 + 13p = 3 + 8 + 1p Combine like terms: 3 + 8 = 11 -12 + 13p = 11 + 1p Solving -12 + 13p = 11 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -12 + 13p + -1p = 11 + 1p + -1p Combine like terms: 13p + -1p = 12p -12 + 12p = 11 + 1p + -1p Combine like terms: 1p + -1p = 0 -12 + 12p = 11 + 0 -12 + 12p = 11 Add '12' to each side of the equation. -12 + 12 + 12p = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 12p = 11 + 12 12p = 11 + 12 Combine like terms: 11 + 12 = 23 12p = 23 Divide each side by '12'. p = 1.916666667 Simplifying p = 1.916666667
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