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Simplifying -8(6 + -4p) + 4p = -5 + -7p (6 * -8 + -4p * -8) + 4p = -5 + -7p (-48 + 32p) + 4p = -5 + -7p Combine like terms: 32p + 4p = 36p -48 + 36p = -5 + -7p Solving -48 + 36p = -5 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -48 + 36p + 7p = -5 + -7p + 7p Combine like terms: 36p + 7p = 43p -48 + 43p = -5 + -7p + 7p Combine like terms: -7p + 7p = 0 -48 + 43p = -5 + 0 -48 + 43p = -5 Add '48' to each side of the equation. -48 + 48 + 43p = -5 + 48 Combine like terms: -48 + 48 = 0 0 + 43p = -5 + 48 43p = -5 + 48 Combine like terms: -5 + 48 = 43 43p = 43 Divide each side by '43'. p = 1 Simplifying p = 1
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