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Simplifying 2p + 18 = 12 + -6(p + 7) Reorder the terms: 18 + 2p = 12 + -6(p + 7) Reorder the terms: 18 + 2p = 12 + -6(7 + p) 18 + 2p = 12 + (7 * -6 + p * -6) 18 + 2p = 12 + (-42 + -6p) Combine like terms: 12 + -42 = -30 18 + 2p = -30 + -6p Solving 18 + 2p = -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 + 2p + 6p = -30 + -6p + 6p Combine like terms: 2p + 6p = 8p 18 + 8p = -30 + -6p + 6p Combine like terms: -6p + 6p = 0 18 + 8p = -30 + 0 18 + 8p = -30 Add '-18' to each side of the equation. 18 + -18 + 8p = -30 + -18 Combine like terms: 18 + -18 = 0 0 + 8p = -30 + -18 8p = -30 + -18 Combine like terms: -30 + -18 = -48 8p = -48 Divide each side by '8'. p = -6 Simplifying p = -6
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