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Simplifying -178 = 8 + 6(4 + -5p) -178 = 8 + (4 * 6 + -5p * 6) -178 = 8 + (24 + -30p) Combine like terms: 8 + 24 = 32 -178 = 32 + -30p Solving -178 = 32 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. -178 + 30p = 32 + -30p + 30p Combine like terms: -30p + 30p = 0 -178 + 30p = 32 + 0 -178 + 30p = 32 Add '178' to each side of the equation. -178 + 178 + 30p = 32 + 178 Combine like terms: -178 + 178 = 0 0 + 30p = 32 + 178 30p = 32 + 178 Combine like terms: 32 + 178 = 210 30p = 210 Divide each side by '30'. p = 7 Simplifying p = 7
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