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Simplifying 3p + 8 = 5 + -6p + 1 Reorder the terms: 8 + 3p = 5 + -6p + 1 Reorder the terms: 8 + 3p = 5 + 1 + -6p Combine like terms: 5 + 1 = 6 8 + 3p = 6 + -6p Solving 8 + 3p = 6 + -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. 8 + 3p + 6p = 6 + -6p + 6p Combine like terms: 3p + 6p = 9p 8 + 9p = 6 + -6p + 6p Combine like terms: -6p + 6p = 0 8 + 9p = 6 + 0 8 + 9p = 6 Add '-8' to each side of the equation. 8 + -8 + 9p = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 9p = 6 + -8 9p = 6 + -8 Combine like terms: 6 + -8 = -2 9p = -2 Divide each side by '9'. p = -0.2222222222 Simplifying p = -0.2222222222
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