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Simplifying 2p + -3(4 + -3p) = 6(p + -5) + -27 2p + (4 * -3 + -3p * -3) = 6(p + -5) + -27 2p + (-12 + 9p) = 6(p + -5) + -27 Reorder the terms: -12 + 2p + 9p = 6(p + -5) + -27 Combine like terms: 2p + 9p = 11p -12 + 11p = 6(p + -5) + -27 Reorder the terms: -12 + 11p = 6(-5 + p) + -27 -12 + 11p = (-5 * 6 + p * 6) + -27 -12 + 11p = (-30 + 6p) + -27 Reorder the terms: -12 + 11p = -30 + -27 + 6p Combine like terms: -30 + -27 = -57 -12 + 11p = -57 + 6p Solving -12 + 11p = -57 + 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. -12 + 11p + -6p = -57 + 6p + -6p Combine like terms: 11p + -6p = 5p -12 + 5p = -57 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + 5p = -57 + 0 -12 + 5p = -57 Add '12' to each side of the equation. -12 + 12 + 5p = -57 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -57 + 12 5p = -57 + 12 Combine like terms: -57 + 12 = -45 5p = -45 Divide each side by '5'. p = -9 Simplifying p = -9
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