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Simplifying -3(2p + 9) = -5(4 + -3p) + 6 Reorder the terms: -3(9 + 2p) = -5(4 + -3p) + 6 (9 * -3 + 2p * -3) = -5(4 + -3p) + 6 (-27 + -6p) = -5(4 + -3p) + 6 -27 + -6p = (4 * -5 + -3p * -5) + 6 -27 + -6p = (-20 + 15p) + 6 Reorder the terms: -27 + -6p = -20 + 6 + 15p Combine like terms: -20 + 6 = -14 -27 + -6p = -14 + 15p Solving -27 + -6p = -14 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -27 + -6p + -15p = -14 + 15p + -15p Combine like terms: -6p + -15p = -21p -27 + -21p = -14 + 15p + -15p Combine like terms: 15p + -15p = 0 -27 + -21p = -14 + 0 -27 + -21p = -14 Add '27' to each side of the equation. -27 + 27 + -21p = -14 + 27 Combine like terms: -27 + 27 = 0 0 + -21p = -14 + 27 -21p = -14 + 27 Combine like terms: -14 + 27 = 13 -21p = 13 Divide each side by '-21'. p = -0.619047619 Simplifying p = -0.619047619
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