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Simplifying 6p + 7p + (-8) = 4 + p + 8 6p + 7p + -8 = 4 + p + 8 Reorder the terms: -8 + 6p + 7p = 4 + p + 8 Combine like terms: 6p + 7p = 13p -8 + 13p = 4 + p + 8 Reorder the terms: -8 + 13p = 4 + 8 + p Combine like terms: 4 + 8 = 12 -8 + 13p = 12 + p Solving -8 + 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. -8 + 13p + -1p = 12 + p + -1p Combine like terms: 13p + -1p = 12p -8 + 12p = 12 + p + -1p Combine like terms: p + -1p = 0 -8 + 12p = 12 + 0 -8 + 12p = 12 Add '8' to each side of the equation. -8 + 8 + 12p = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 12p = 12 + 8 12p = 12 + 8 Combine like terms: 12 + 8 = 20 12p = 20 Divide each side by '12'. p = 1.666666667 Simplifying p = 1.666666667
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