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Simplifying -7(1 + 7p) = -9(3 + 3p) + -12p (1 * -7 + 7p * -7) = -9(3 + 3p) + -12p (-7 + -49p) = -9(3 + 3p) + -12p -7 + -49p = (3 * -9 + 3p * -9) + -12p -7 + -49p = (-27 + -27p) + -12p Combine like terms: -27p + -12p = -39p -7 + -49p = -27 + -39p Solving -7 + -49p = -27 + -39p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '39p' to each side of the equation. -7 + -49p + 39p = -27 + -39p + 39p Combine like terms: -49p + 39p = -10p -7 + -10p = -27 + -39p + 39p Combine like terms: -39p + 39p = 0 -7 + -10p = -27 + 0 -7 + -10p = -27 Add '7' to each side of the equation. -7 + 7 + -10p = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -10p = -27 + 7 -10p = -27 + 7 Combine like terms: -27 + 7 = -20 -10p = -20 Divide each side by '-10'. p = 2 Simplifying p = 2
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