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Simplifying 2(p + -7) = 9(p + 4) Reorder the terms: 2(-7 + p) = 9(p + 4) (-7 * 2 + p * 2) = 9(p + 4) (-14 + 2p) = 9(p + 4) Reorder the terms: -14 + 2p = 9(4 + p) -14 + 2p = (4 * 9 + p * 9) -14 + 2p = (36 + 9p) Solving -14 + 2p = 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. -14 + 2p + -9p = 36 + 9p + -9p Combine like terms: 2p + -9p = -7p -14 + -7p = 36 + 9p + -9p Combine like terms: 9p + -9p = 0 -14 + -7p = 36 + 0 -14 + -7p = 36 Add '14' to each side of the equation. -14 + 14 + -7p = 36 + 14 Combine like terms: -14 + 14 = 0 0 + -7p = 36 + 14 -7p = 36 + 14 Combine like terms: 36 + 14 = 50 -7p = 50 Divide each side by '-7'. p = -7.142857143 Simplifying p = -7.142857143
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