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Simplifying -3(p + -6) = -6(p + -2) + -3p Reorder the terms: -3(-6 + p) = -6(p + -2) + -3p (-6 * -3 + p * -3) = -6(p + -2) + -3p (18 + -3p) = -6(p + -2) + -3p Reorder the terms: 18 + -3p = -6(-2 + p) + -3p 18 + -3p = (-2 * -6 + p * -6) + -3p 18 + -3p = (12 + -6p) + -3p Combine like terms: -6p + -3p = -9p 18 + -3p = 12 + -9p Solving 18 + -3p = 12 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 18 + -3p + 9p = 12 + -9p + 9p Combine like terms: -3p + 9p = 6p 18 + 6p = 12 + -9p + 9p Combine like terms: -9p + 9p = 0 18 + 6p = 12 + 0 18 + 6p = 12 Add '-18' to each side of the equation. 18 + -18 + 6p = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 6p = 12 + -18 6p = 12 + -18 Combine like terms: 12 + -18 = -6 6p = -6 Divide each side by '6'. p = -1 Simplifying p = -1
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