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Simplifying 9p + -6(p + 2) + 17 = -2p Reorder the terms: 9p + -6(2 + p) + 17 = -2p 9p + (2 * -6 + p * -6) + 17 = -2p 9p + (-12 + -6p) + 17 = -2p Reorder the terms: -12 + 17 + 9p + -6p = -2p Combine like terms: -12 + 17 = 5 5 + 9p + -6p = -2p Combine like terms: 9p + -6p = 3p 5 + 3p = -2p Solving 5 + 3p = -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 5 + 3p + 2p = -2p + 2p Combine like terms: 3p + 2p = 5p 5 + 5p = -2p + 2p Combine like terms: -2p + 2p = 0 5 + 5p = 0 Add '-5' to each side of the equation. 5 + -5 + 5p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5p = 0 + -5 5p = 0 + -5 Combine like terms: 0 + -5 = -5 5p = -5 Divide each side by '5'. p = -1 Simplifying p = -1
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