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Simplifying -1(1 + 7p) = 29 + -1p (1 * -1 + 7p * -1) = 29 + -1p (-1 + -7p) = 29 + -1p Solving -1 + -7p = 29 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -1 + -7p + p = 29 + -1p + p Combine like terms: -7p + p = -6p -1 + -6p = 29 + -1p + p Combine like terms: -1p + p = 0 -1 + -6p = 29 + 0 -1 + -6p = 29 Add '1' to each side of the equation. -1 + 1 + -6p = 29 + 1 Combine like terms: -1 + 1 = 0 0 + -6p = 29 + 1 -6p = 29 + 1 Combine like terms: 29 + 1 = 30 -6p = 30 Divide each side by '-6'. p = -5 Simplifying p = -5
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