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Simplifying -6(p + -3) = 30 + 6p Reorder the terms: -6(-3 + p) = 30 + 6p (-3 * -6 + p * -6) = 30 + 6p (18 + -6p) = 30 + 6p Solving 18 + -6p = 30 + 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. 18 + -6p + -6p = 30 + 6p + -6p Combine like terms: -6p + -6p = -12p 18 + -12p = 30 + 6p + -6p Combine like terms: 6p + -6p = 0 18 + -12p = 30 + 0 18 + -12p = 30 Add '-18' to each side of the equation. 18 + -18 + -12p = 30 + -18 Combine like terms: 18 + -18 = 0 0 + -12p = 30 + -18 -12p = 30 + -18 Combine like terms: 30 + -18 = 12 -12p = 12 Divide each side by '-12'. p = -1 Simplifying p = -1
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