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Simplifying 8p + 10p + -30 = 24 + 3p + 6 Reorder the terms: -30 + 8p + 10p = 24 + 3p + 6 Combine like terms: 8p + 10p = 18p -30 + 18p = 24 + 3p + 6 Reorder the terms: -30 + 18p = 24 + 6 + 3p Combine like terms: 24 + 6 = 30 -30 + 18p = 30 + 3p Solving -30 + 18p = 30 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -30 + 18p + -3p = 30 + 3p + -3p Combine like terms: 18p + -3p = 15p -30 + 15p = 30 + 3p + -3p Combine like terms: 3p + -3p = 0 -30 + 15p = 30 + 0 -30 + 15p = 30 Add '30' to each side of the equation. -30 + 30 + 15p = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 15p = 30 + 30 15p = 30 + 30 Combine like terms: 30 + 30 = 60 15p = 60 Divide each side by '15'. p = 4 Simplifying p = 4
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