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Simplifying -6p + 8(2 + -6p) = 178 -6p + (2 * 8 + -6p * 8) = 178 -6p + (16 + -48p) = 178 Reorder the terms: 16 + -6p + -48p = 178 Combine like terms: -6p + -48p = -54p 16 + -54p = 178 Solving 16 + -54p = 178 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -54p = 178 + -16 Combine like terms: 16 + -16 = 0 0 + -54p = 178 + -16 -54p = 178 + -16 Combine like terms: 178 + -16 = 162 -54p = 162 Divide each side by '-54'. p = -3 Simplifying p = -3
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