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Simplifying -6(p + -8) = 23 + -1p Reorder the terms: -6(-8 + p) = 23 + -1p (-8 * -6 + p * -6) = 23 + -1p (48 + -6p) = 23 + -1p Solving 48 + -6p = 23 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 48 + -6p + p = 23 + -1p + p Combine like terms: -6p + p = -5p 48 + -5p = 23 + -1p + p Combine like terms: -1p + p = 0 48 + -5p = 23 + 0 48 + -5p = 23 Add '-48' to each side of the equation. 48 + -48 + -5p = 23 + -48 Combine like terms: 48 + -48 = 0 0 + -5p = 23 + -48 -5p = 23 + -48 Combine like terms: 23 + -48 = -25 -5p = -25 Divide each side by '-5'. p = 5 Simplifying p = 5
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