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Simplifying 14 + -2p = 2(3p + 1) Reorder the terms: 14 + -2p = 2(1 + 3p) 14 + -2p = (1 * 2 + 3p * 2) 14 + -2p = (2 + 6p) Solving 14 + -2p = 2 + 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. 14 + -2p + -6p = 2 + 6p + -6p Combine like terms: -2p + -6p = -8p 14 + -8p = 2 + 6p + -6p Combine like terms: 6p + -6p = 0 14 + -8p = 2 + 0 14 + -8p = 2 Add '-14' to each side of the equation. 14 + -14 + -8p = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -8p = 2 + -14 -8p = 2 + -14 Combine like terms: 2 + -14 = -12 -8p = -12 Divide each side by '-8'. p = 1.5 Simplifying p = 1.5
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