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Simplifying 4p + 14 = 7(-4p + 2) Reorder the terms: 14 + 4p = 7(-4p + 2) Reorder the terms: 14 + 4p = 7(2 + -4p) 14 + 4p = (2 * 7 + -4p * 7) 14 + 4p = (14 + -28p) Add '-14' to each side of the equation. 14 + -14 + 4p = 14 + -14 + -28p Combine like terms: 14 + -14 = 0 0 + 4p = 14 + -14 + -28p 4p = 14 + -14 + -28p Combine like terms: 14 + -14 = 0 4p = 0 + -28p 4p = -28p Solving 4p = -28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28p' to each side of the equation. 4p + 28p = -28p + 28p Combine like terms: 4p + 28p = 32p 32p = -28p + 28p Combine like terms: -28p + 28p = 0 32p = 0 Divide each side by '32'. p = 0 Simplifying p = 0
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