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Simplifying 8 + -4(p + 2) = 2(p + -1) + -11p + 17 Reorder the terms: 8 + -4(2 + p) = 2(p + -1) + -11p + 17 8 + (2 * -4 + p * -4) = 2(p + -1) + -11p + 17 8 + (-8 + -4p) = 2(p + -1) + -11p + 17 Combine like terms: 8 + -8 = 0 0 + -4p = 2(p + -1) + -11p + 17 -4p = 2(p + -1) + -11p + 17 Reorder the terms: -4p = 2(-1 + p) + -11p + 17 -4p = (-1 * 2 + p * 2) + -11p + 17 -4p = (-2 + 2p) + -11p + 17 Reorder the terms: -4p = -2 + 17 + 2p + -11p Combine like terms: -2 + 17 = 15 -4p = 15 + 2p + -11p Combine like terms: 2p + -11p = -9p -4p = 15 + -9p Solving -4p = 15 + -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. -4p + 9p = 15 + -9p + 9p Combine like terms: -4p + 9p = 5p 5p = 15 + -9p + 9p Combine like terms: -9p + 9p = 0 5p = 15 + 0 5p = 15 Divide each side by '5'. p = 3 Simplifying p = 3
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