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Simplifying 3(6 + -2p) = -2(3 + -3p) (6 * 3 + -2p * 3) = -2(3 + -3p) (18 + -6p) = -2(3 + -3p) 18 + -6p = (3 * -2 + -3p * -2) 18 + -6p = (-6 + 6p) Solving 18 + -6p = -6 + 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 = -6 + 6p + -6p Combine like terms: -6p + -6p = -12p 18 + -12p = -6 + 6p + -6p Combine like terms: 6p + -6p = 0 18 + -12p = -6 + 0 18 + -12p = -6 Add '-18' to each side of the equation. 18 + -18 + -12p = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -12p = -6 + -18 -12p = -6 + -18 Combine like terms: -6 + -18 = -24 -12p = -24 Divide each side by '-12'. p = 2 Simplifying p = 2
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