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Simplifying -6(-2p + -9) = 5(-1p + -9) + -3 Reorder the terms: -6(-9 + -2p) = 5(-1p + -9) + -3 (-9 * -6 + -2p * -6) = 5(-1p + -9) + -3 (54 + 12p) = 5(-1p + -9) + -3 Reorder the terms: 54 + 12p = 5(-9 + -1p) + -3 54 + 12p = (-9 * 5 + -1p * 5) + -3 54 + 12p = (-45 + -5p) + -3 Reorder the terms: 54 + 12p = -45 + -3 + -5p Combine like terms: -45 + -3 = -48 54 + 12p = -48 + -5p Solving 54 + 12p = -48 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 54 + 12p + 5p = -48 + -5p + 5p Combine like terms: 12p + 5p = 17p 54 + 17p = -48 + -5p + 5p Combine like terms: -5p + 5p = 0 54 + 17p = -48 + 0 54 + 17p = -48 Add '-54' to each side of the equation. 54 + -54 + 17p = -48 + -54 Combine like terms: 54 + -54 = 0 0 + 17p = -48 + -54 17p = -48 + -54 Combine like terms: -48 + -54 = -102 17p = -102 Divide each side by '17'. p = -6 Simplifying p = -6
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