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Simplifying 2(p + -1r) = 9(p + 4) (p * 2 + -1r * 2) = 9(p + 4) (2p + -2r) = 9(p + 4) Reorder the terms: 2p + -2r = 9(4 + p) 2p + -2r = (4 * 9 + p * 9) 2p + -2r = (36 + 9p) Solving 2p + -2r = 36 + 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. 2p + -9p + -2r = 36 + 9p + -9p Combine like terms: 2p + -9p = -7p -7p + -2r = 36 + 9p + -9p Combine like terms: 9p + -9p = 0 -7p + -2r = 36 + 0 -7p + -2r = 36 Add '2r' to each side of the equation. -7p + -2r + 2r = 36 + 2r Combine like terms: -2r + 2r = 0 -7p + 0 = 36 + 2r -7p = 36 + 2r Divide each side by '-7'. p = -5.142857143 + -0.2857142857r Simplifying p = -5.142857143 + -0.2857142857r
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