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Simplifying -6(1 + 2p) = 25 + -5p (1 * -6 + 2p * -6) = 25 + -5p (-6 + -12p) = 25 + -5p Solving -6 + -12p = 25 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -6 + -12p + 5p = 25 + -5p + 5p Combine like terms: -12p + 5p = -7p -6 + -7p = 25 + -5p + 5p Combine like terms: -5p + 5p = 0 -6 + -7p = 25 + 0 -6 + -7p = 25 Add '6' to each side of the equation. -6 + 6 + -7p = 25 + 6 Combine like terms: -6 + 6 = 0 0 + -7p = 25 + 6 -7p = 25 + 6 Combine like terms: 25 + 6 = 31 -7p = 31 Divide each side by '-7'. p = -4.428571429 Simplifying p = -4.428571429
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