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Simplifying -3p + 5p + -5 + 10p = 6 + 8p + -3p + 12 Reorder the terms: -5 + -3p + 5p + 10p = 6 + 8p + -3p + 12 Combine like terms: -3p + 5p = 2p -5 + 2p + 10p = 6 + 8p + -3p + 12 Combine like terms: 2p + 10p = 12p -5 + 12p = 6 + 8p + -3p + 12 Reorder the terms: -5 + 12p = 6 + 12 + 8p + -3p Combine like terms: 6 + 12 = 18 -5 + 12p = 18 + 8p + -3p Combine like terms: 8p + -3p = 5p -5 + 12p = 18 + 5p Solving -5 + 12p = 18 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -5 + 12p + -5p = 18 + 5p + -5p Combine like terms: 12p + -5p = 7p -5 + 7p = 18 + 5p + -5p Combine like terms: 5p + -5p = 0 -5 + 7p = 18 + 0 -5 + 7p = 18 Add '5' to each side of the equation. -5 + 5 + 7p = 18 + 5 Combine like terms: -5 + 5 = 0 0 + 7p = 18 + 5 7p = 18 + 5 Combine like terms: 18 + 5 = 23 7p = 23 Divide each side by '7'. p = 3.285714286 Simplifying p = 3.285714286
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