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Simplifying 2(p + 6) = 6(p + -3) Reorder the terms: 2(6 + p) = 6(p + -3) (6 * 2 + p * 2) = 6(p + -3) (12 + 2p) = 6(p + -3) Reorder the terms: 12 + 2p = 6(-3 + p) 12 + 2p = (-3 * 6 + p * 6) 12 + 2p = (-18 + 6p) Solving 12 + 2p = -18 + 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. 12 + 2p + -6p = -18 + 6p + -6p Combine like terms: 2p + -6p = -4p 12 + -4p = -18 + 6p + -6p Combine like terms: 6p + -6p = 0 12 + -4p = -18 + 0 12 + -4p = -18 Add '-12' to each side of the equation. 12 + -12 + -4p = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -4p = -18 + -12 -4p = -18 + -12 Combine like terms: -18 + -12 = -30 -4p = -30 Divide each side by '-4'. p = 7.5 Simplifying p = 7.5
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