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Simplifying p + -6(2p + -4) = 4p + 9 Reorder the terms: p + -6(-4 + 2p) = 4p + 9 p + (-4 * -6 + 2p * -6) = 4p + 9 p + (24 + -12p) = 4p + 9 Reorder the terms: 24 + p + -12p = 4p + 9 Combine like terms: p + -12p = -11p 24 + -11p = 4p + 9 Reorder the terms: 24 + -11p = 9 + 4p Solving 24 + -11p = 9 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 24 + -11p + -4p = 9 + 4p + -4p Combine like terms: -11p + -4p = -15p 24 + -15p = 9 + 4p + -4p Combine like terms: 4p + -4p = 0 24 + -15p = 9 + 0 24 + -15p = 9 Add '-24' to each side of the equation. 24 + -24 + -15p = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -15p = 9 + -24 -15p = 9 + -24 Combine like terms: 9 + -24 = -15 -15p = -15 Divide each side by '-15'. p = 1 Simplifying p = 1
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