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Simplifying 2p + -3(2 + -3p) = 6(p + -2) + -44 2p + (2 * -3 + -3p * -3) = 6(p + -2) + -44 2p + (-6 + 9p) = 6(p + -2) + -44 Reorder the terms: -6 + 2p + 9p = 6(p + -2) + -44 Combine like terms: 2p + 9p = 11p -6 + 11p = 6(p + -2) + -44 Reorder the terms: -6 + 11p = 6(-2 + p) + -44 -6 + 11p = (-2 * 6 + p * 6) + -44 -6 + 11p = (-12 + 6p) + -44 Reorder the terms: -6 + 11p = -12 + -44 + 6p Combine like terms: -12 + -44 = -56 -6 + 11p = -56 + 6p Solving -6 + 11p = -56 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -6 + 11p + -6p = -56 + 6p + -6p Combine like terms: 11p + -6p = 5p -6 + 5p = -56 + 6p + -6p Combine like terms: 6p + -6p = 0 -6 + 5p = -56 + 0 -6 + 5p = -56 Add '6' to each side of the equation. -6 + 6 + 5p = -56 + 6 Combine like terms: -6 + 6 = 0 0 + 5p = -56 + 6 5p = -56 + 6 Combine like terms: -56 + 6 = -50 5p = -50 Divide each side by '5'. p = -10 Simplifying p = -10
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