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Simplifying 6p + 7p + -12 = 4 + p + 8 Reorder the terms: -12 + 6p + 7p = 4 + p + 8 Combine like terms: 6p + 7p = 13p -12 + 13p = 4 + p + 8 Reorder the terms: -12 + 13p = 4 + 8 + p Combine like terms: 4 + 8 = 12 -12 + 13p = 12 + p Solving -12 + 13p = 12 + p 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 = 12 + p + -1p Combine like terms: 13p + -1p = 12p -12 + 12p = 12 + p + -1p Combine like terms: p + -1p = 0 -12 + 12p = 12 + 0 -12 + 12p = 12 Add '12' to each side of the equation. -12 + 12 + 12p = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 12p = 12 + 12 12p = 12 + 12 Combine like terms: 12 + 12 = 24 12p = 24 Divide each side by '12'. p = 2 Simplifying p = 2
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