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Simplifying 4.5p + 7 + -3p = 17 + -9p + 12 Reorder the terms: 7 + 4.5p + -3p = 17 + -9p + 12 Combine like terms: 4.5p + -3p = 1.5p 7 + 1.5p = 17 + -9p + 12 Reorder the terms: 7 + 1.5p = 17 + 12 + -9p Combine like terms: 17 + 12 = 29 7 + 1.5p = 29 + -9p Solving 7 + 1.5p = 29 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 7 + 1.5p + 9p = 29 + -9p + 9p Combine like terms: 1.5p + 9p = 10.5p 7 + 10.5p = 29 + -9p + 9p Combine like terms: -9p + 9p = 0 7 + 10.5p = 29 + 0 7 + 10.5p = 29 Add '-7' to each side of the equation. 7 + -7 + 10.5p = 29 + -7 Combine like terms: 7 + -7 = 0 0 + 10.5p = 29 + -7 10.5p = 29 + -7 Combine like terms: 29 + -7 = 22 10.5p = 22 Divide each side by '10.5'. p = 2.095238095 Simplifying p = 2.095238095
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