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Simplifying -3(-18 + -12p) = 6(-6 + 9p) (-18 * -3 + -12p * -3) = 6(-6 + 9p) (54 + 36p) = 6(-6 + 9p) 54 + 36p = (-6 * 6 + 9p * 6) 54 + 36p = (-36 + 54p) Solving 54 + 36p = -36 + 54p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-54p' to each side of the equation. 54 + 36p + -54p = -36 + 54p + -54p Combine like terms: 36p + -54p = -18p 54 + -18p = -36 + 54p + -54p Combine like terms: 54p + -54p = 0 54 + -18p = -36 + 0 54 + -18p = -36 Add '-54' to each side of the equation. 54 + -54 + -18p = -36 + -54 Combine like terms: 54 + -54 = 0 0 + -18p = -36 + -54 -18p = -36 + -54 Combine like terms: -36 + -54 = -90 -18p = -90 Divide each side by '-18'. p = 5 Simplifying p = 5
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