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Simplifying 6(p + 3) = 2(2p + -6) Reorder the terms: 6(3 + p) = 2(2p + -6) (3 * 6 + p * 6) = 2(2p + -6) (18 + 6p) = 2(2p + -6) Reorder the terms: 18 + 6p = 2(-6 + 2p) 18 + 6p = (-6 * 2 + 2p * 2) 18 + 6p = (-12 + 4p) Solving 18 + 6p = -12 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 18 + 6p + -4p = -12 + 4p + -4p Combine like terms: 6p + -4p = 2p 18 + 2p = -12 + 4p + -4p Combine like terms: 4p + -4p = 0 18 + 2p = -12 + 0 18 + 2p = -12 Add '-18' to each side of the equation. 18 + -18 + 2p = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 2p = -12 + -18 2p = -12 + -18 Combine like terms: -12 + -18 = -30 2p = -30 Divide each side by '2'. p = -15 Simplifying p = -15
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