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Simplifying 9 + -2p = 4 + -3(p + -2) Reorder the terms: 9 + -2p = 4 + -3(-2 + p) 9 + -2p = 4 + (-2 * -3 + p * -3) 9 + -2p = 4 + (6 + -3p) Combine like terms: 4 + 6 = 10 9 + -2p = 10 + -3p Solving 9 + -2p = 10 + -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. 9 + -2p + 3p = 10 + -3p + 3p Combine like terms: -2p + 3p = 1p 9 + 1p = 10 + -3p + 3p Combine like terms: -3p + 3p = 0 9 + 1p = 10 + 0 9 + 1p = 10 Add '-9' to each side of the equation. 9 + -9 + 1p = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 1p = 10 + -9 1p = 10 + -9 Combine like terms: 10 + -9 = 1 1p = 1 Divide each side by '1'. p = 1 Simplifying p = 1
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