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Simplifying -5(-6 + 6p) = -12(p + 7) + p (-6 * -5 + 6p * -5) = -12(p + 7) + p (30 + -30p) = -12(p + 7) + p Reorder the terms: 30 + -30p = -12(7 + p) + p 30 + -30p = (7 * -12 + p * -12) + p 30 + -30p = (-84 + -12p) + p Combine like terms: -12p + p = -11p 30 + -30p = -84 + -11p Solving 30 + -30p = -84 + -11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11p' to each side of the equation. 30 + -30p + 11p = -84 + -11p + 11p Combine like terms: -30p + 11p = -19p 30 + -19p = -84 + -11p + 11p Combine like terms: -11p + 11p = 0 30 + -19p = -84 + 0 30 + -19p = -84 Add '-30' to each side of the equation. 30 + -30 + -19p = -84 + -30 Combine like terms: 30 + -30 = 0 0 + -19p = -84 + -30 -19p = -84 + -30 Combine like terms: -84 + -30 = -114 -19p = -114 Divide each side by '-19'. p = 6 Simplifying p = 6
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