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Simplifying 9(4p + 2) + -3(9p + 8) = 6p + 5p Reorder the terms: 9(2 + 4p) + -3(9p + 8) = 6p + 5p (2 * 9 + 4p * 9) + -3(9p + 8) = 6p + 5p (18 + 36p) + -3(9p + 8) = 6p + 5p Reorder the terms: 18 + 36p + -3(8 + 9p) = 6p + 5p 18 + 36p + (8 * -3 + 9p * -3) = 6p + 5p 18 + 36p + (-24 + -27p) = 6p + 5p Reorder the terms: 18 + -24 + 36p + -27p = 6p + 5p Combine like terms: 18 + -24 = -6 -6 + 36p + -27p = 6p + 5p Combine like terms: 36p + -27p = 9p -6 + 9p = 6p + 5p Combine like terms: 6p + 5p = 11p -6 + 9p = 11p Solving -6 + 9p = 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. -6 + 9p + -11p = 11p + -11p Combine like terms: 9p + -11p = -2p -6 + -2p = 11p + -11p Combine like terms: 11p + -11p = 0 -6 + -2p = 0 Add '6' to each side of the equation. -6 + 6 + -2p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2p = 0 + 6 -2p = 0 + 6 Combine like terms: 0 + 6 = 6 -2p = 6 Divide each side by '-2'. p = -3 Simplifying p = -3
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