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Simplifying 6(p + -8) = 7 + -5p Reorder the terms: 6(-8 + p) = 7 + -5p (-8 * 6 + p * 6) = 7 + -5p (-48 + 6p) = 7 + -5p Solving -48 + 6p = 7 + -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. -48 + 6p + 5p = 7 + -5p + 5p Combine like terms: 6p + 5p = 11p -48 + 11p = 7 + -5p + 5p Combine like terms: -5p + 5p = 0 -48 + 11p = 7 + 0 -48 + 11p = 7 Add '48' to each side of the equation. -48 + 48 + 11p = 7 + 48 Combine like terms: -48 + 48 = 0 0 + 11p = 7 + 48 11p = 7 + 48 Combine like terms: 7 + 48 = 55 11p = 55 Divide each side by '11'. p = 5 Simplifying p = 5
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