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Simplifying -6p + 6(5p + 8) = 128 Reorder the terms: -6p + 6(8 + 5p) = 128 -6p + (8 * 6 + 5p * 6) = 128 -6p + (48 + 30p) = 128 Reorder the terms: 48 + -6p + 30p = 128 Combine like terms: -6p + 30p = 24p 48 + 24p = 128 Solving 48 + 24p = 128 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 24p = 128 + -48 Combine like terms: 48 + -48 = 0 0 + 24p = 128 + -48 24p = 128 + -48 Combine like terms: 128 + -48 = 80 24p = 80 Divide each side by '24'. p = 3.333333333 Simplifying p = 3.333333333
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