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Simplifying 6p + 30 + -3p + 6 = 12p + 8 Reorder the terms: 30 + 6 + 6p + -3p = 12p + 8 Combine like terms: 30 + 6 = 36 36 + 6p + -3p = 12p + 8 Combine like terms: 6p + -3p = 3p 36 + 3p = 12p + 8 Reorder the terms: 36 + 3p = 8 + 12p Solving 36 + 3p = 8 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 36 + 3p + -12p = 8 + 12p + -12p Combine like terms: 3p + -12p = -9p 36 + -9p = 8 + 12p + -12p Combine like terms: 12p + -12p = 0 36 + -9p = 8 + 0 36 + -9p = 8 Add '-36' to each side of the equation. 36 + -36 + -9p = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -9p = 8 + -36 -9p = 8 + -36 Combine like terms: 8 + -36 = -28 -9p = -28 Divide each side by '-9'. p = 3.111111111 Simplifying p = 3.111111111
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