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Simplifying -2(6 + 4p) + -7p = -4(p + -8) (6 * -2 + 4p * -2) + -7p = -4(p + -8) (-12 + -8p) + -7p = -4(p + -8) Combine like terms: -8p + -7p = -15p -12 + -15p = -4(p + -8) Reorder the terms: -12 + -15p = -4(-8 + p) -12 + -15p = (-8 * -4 + p * -4) -12 + -15p = (32 + -4p) Solving -12 + -15p = 32 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -12 + -15p + 4p = 32 + -4p + 4p Combine like terms: -15p + 4p = -11p -12 + -11p = 32 + -4p + 4p Combine like terms: -4p + 4p = 0 -12 + -11p = 32 + 0 -12 + -11p = 32 Add '12' to each side of the equation. -12 + 12 + -11p = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -11p = 32 + 12 -11p = 32 + 12 Combine like terms: 32 + 12 = 44 -11p = 44 Divide each side by '-11'. p = -4 Simplifying p = -4
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