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Simplifying -4(1 + -1p) = 7p + 14 (1 * -4 + -1p * -4) = 7p + 14 (-4 + 4p) = 7p + 14 Reorder the terms: -4 + 4p = 14 + 7p Solving -4 + 4p = 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. -4 + 4p + -7p = 14 + 7p + -7p Combine like terms: 4p + -7p = -3p -4 + -3p = 14 + 7p + -7p Combine like terms: 7p + -7p = 0 -4 + -3p = 14 + 0 -4 + -3p = 14 Add '4' to each side of the equation. -4 + 4 + -3p = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -3p = 14 + 4 -3p = 14 + 4 Combine like terms: 14 + 4 = 18 -3p = 18 Divide each side by '-3'. p = -6 Simplifying p = -6
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