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Simplifying -182 = 8(3p + -1) + -6 Reorder the terms: -182 = 8(-1 + 3p) + -6 -182 = (-1 * 8 + 3p * 8) + -6 -182 = (-8 + 24p) + -6 Reorder the terms: -182 = -8 + -6 + 24p Combine like terms: -8 + -6 = -14 -182 = -14 + 24p Solving -182 = -14 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -182 + -24p = -14 + 24p + -24p Combine like terms: 24p + -24p = 0 -182 + -24p = -14 + 0 -182 + -24p = -14 Add '182' to each side of the equation. -182 + 182 + -24p = -14 + 182 Combine like terms: -182 + 182 = 0 0 + -24p = -14 + 182 -24p = -14 + 182 Combine like terms: -14 + 182 = 168 -24p = 168 Divide each side by '-24'. p = -7 Simplifying p = -7
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