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Simplifying 2(p + 6) + 6p = -6p + 26 Reorder the terms: 2(6 + p) + 6p = -6p + 26 (6 * 2 + p * 2) + 6p = -6p + 26 (12 + 2p) + 6p = -6p + 26 Combine like terms: 2p + 6p = 8p 12 + 8p = -6p + 26 Reorder the terms: 12 + 8p = 26 + -6p Solving 12 + 8p = 26 + -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 + 8p + 6p = 26 + -6p + 6p Combine like terms: 8p + 6p = 14p 12 + 14p = 26 + -6p + 6p Combine like terms: -6p + 6p = 0 12 + 14p = 26 + 0 12 + 14p = 26 Add '-12' to each side of the equation. 12 + -12 + 14p = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 14p = 26 + -12 14p = 26 + -12 Combine like terms: 26 + -12 = 14 14p = 14 Divide each side by '14'. p = 1 Simplifying p = 1
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