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Simplifying 114 = 2(7p + 1) Reorder the terms: 114 = 2(1 + 7p) 114 = (1 * 2 + 7p * 2) 114 = (2 + 14p) Solving 114 = 2 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. 114 + -14p = 2 + 14p + -14p Combine like terms: 14p + -14p = 0 114 + -14p = 2 + 0 114 + -14p = 2 Add '-114' to each side of the equation. 114 + -114 + -14p = 2 + -114 Combine like terms: 114 + -114 = 0 0 + -14p = 2 + -114 -14p = 2 + -114 Combine like terms: 2 + -114 = -112 -14p = -112 Divide each side by '-14'. p = 8 Simplifying p = 8
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