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Simplifying -178 = -3 + -7(1 + 8p) -178 = -3 + (1 * -7 + 8p * -7) -178 = -3 + (-7 + -56p) Combine like terms: -3 + -7 = -10 -178 = -10 + -56p Solving -178 = -10 + -56p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '56p' to each side of the equation. -178 + 56p = -10 + -56p + 56p Combine like terms: -56p + 56p = 0 -178 + 56p = -10 + 0 -178 + 56p = -10 Add '178' to each side of the equation. -178 + 178 + 56p = -10 + 178 Combine like terms: -178 + 178 = 0 0 + 56p = -10 + 178 56p = -10 + 178 Combine like terms: -10 + 178 = 168 56p = 168 Divide each side by '56'. p = 3 Simplifying p = 3
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