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Simplifying -13 + p + 5 + 8p = 7p + 3p Reorder the terms: -13 + 5 + p + 8p = 7p + 3p Combine like terms: -13 + 5 = -8 -8 + p + 8p = 7p + 3p Combine like terms: p + 8p = 9p -8 + 9p = 7p + 3p Combine like terms: 7p + 3p = 10p -8 + 9p = 10p Solving -8 + 9p = 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -8 + 9p + -10p = 10p + -10p Combine like terms: 9p + -10p = -1p -8 + -1p = 10p + -10p Combine like terms: 10p + -10p = 0 -8 + -1p = 0 Add '8' to each side of the equation. -8 + 8 + -1p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1p = 0 + 8 -1p = 0 + 8 Combine like terms: 0 + 8 = 8 -1p = 8 Divide each side by '-1'. p = -8 Simplifying p = -8
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