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Simplifying -7(1 + 4p) = -7p + 14 (1 * -7 + 4p * -7) = -7p + 14 (-7 + -28p) = -7p + 14 Reorder the terms: -7 + -28p = 14 + -7p Solving -7 + -28p = 14 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -7 + -28p + 7p = 14 + -7p + 7p Combine like terms: -28p + 7p = -21p -7 + -21p = 14 + -7p + 7p Combine like terms: -7p + 7p = 0 -7 + -21p = 14 + 0 -7 + -21p = 14 Add '7' to each side of the equation. -7 + 7 + -21p = 14 + 7 Combine like terms: -7 + 7 = 0 0 + -21p = 14 + 7 -21p = 14 + 7 Combine like terms: 14 + 7 = 21 -21p = 21 Divide each side by '-21'. p = -1 Simplifying p = -1
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