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Simplifying -7(2p + 1) = 14p + 7 Reorder the terms: -7(1 + 2p) = 14p + 7 (1 * -7 + 2p * -7) = 14p + 7 (-7 + -14p) = 14p + 7 Reorder the terms: -7 + -14p = 7 + 14p Solving -7 + -14p = 7 + 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. -7 + -14p + -14p = 7 + 14p + -14p Combine like terms: -14p + -14p = -28p -7 + -28p = 7 + 14p + -14p Combine like terms: 14p + -14p = 0 -7 + -28p = 7 + 0 -7 + -28p = 7 Add '7' to each side of the equation. -7 + 7 + -28p = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -28p = 7 + 7 -28p = 7 + 7 Combine like terms: 7 + 7 = 14 -28p = 14 Divide each side by '-28'. p = -0.5 Simplifying p = -0.5
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