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Simplifying 3p + -9 + 4p = 5(3 + -1p) Reorder the terms: -9 + 3p + 4p = 5(3 + -1p) Combine like terms: 3p + 4p = 7p -9 + 7p = 5(3 + -1p) -9 + 7p = (3 * 5 + -1p * 5) -9 + 7p = (15 + -5p) Solving -9 + 7p = 15 + -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. -9 + 7p + 5p = 15 + -5p + 5p Combine like terms: 7p + 5p = 12p -9 + 12p = 15 + -5p + 5p Combine like terms: -5p + 5p = 0 -9 + 12p = 15 + 0 -9 + 12p = 15 Add '9' to each side of the equation. -9 + 9 + 12p = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 12p = 15 + 9 12p = 15 + 9 Combine like terms: 15 + 9 = 24 12p = 24 Divide each side by '12'. p = 2 Simplifying p = 2
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