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Simplifying -6 = -3(-2 + -8p) + 3(6 + -6p) -6 = (-2 * -3 + -8p * -3) + 3(6 + -6p) -6 = (6 + 24p) + 3(6 + -6p) -6 = 6 + 24p + (6 * 3 + -6p * 3) -6 = 6 + 24p + (18 + -18p) Reorder the terms: -6 = 6 + 18 + 24p + -18p Combine like terms: 6 + 18 = 24 -6 = 24 + 24p + -18p Combine like terms: 24p + -18p = 6p -6 = 24 + 6p Solving -6 = 24 + 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 + -6p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 -6 + -6p = 24 + 0 -6 + -6p = 24 Add '6' to each side of the equation. -6 + 6 + -6p = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -6p = 24 + 6 -6p = 24 + 6 Combine like terms: 24 + 6 = 30 -6p = 30 Divide each side by '-6'. p = -5 Simplifying p = -5
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