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Simplifying p + -4p + 6 = 5 + -6p + 9 Reorder the terms: 6 + p + -4p = 5 + -6p + 9 Combine like terms: p + -4p = -3p 6 + -3p = 5 + -6p + 9 Reorder the terms: 6 + -3p = 5 + 9 + -6p Combine like terms: 5 + 9 = 14 6 + -3p = 14 + -6p Solving 6 + -3p = 14 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 6 + -3p + 6p = 14 + -6p + 6p Combine like terms: -3p + 6p = 3p 6 + 3p = 14 + -6p + 6p Combine like terms: -6p + 6p = 0 6 + 3p = 14 + 0 6 + 3p = 14 Add '-6' to each side of the equation. 6 + -6 + 3p = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 3p = 14 + -6 3p = 14 + -6 Combine like terms: 14 + -6 = 8 3p = 8 Divide each side by '3'. p = 2.666666667 Simplifying p = 2.666666667
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