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Simplifying -178 = 6p + 4(-7 + 6p) -178 = 6p + (-7 * 4 + 6p * 4) -178 = 6p + (-28 + 24p) Reorder the terms: -178 = -28 + 6p + 24p Combine like terms: 6p + 24p = 30p -178 = -28 + 30p Solving -178 = -28 + 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 = -28 + 30p + -30p Combine like terms: 30p + -30p = 0 -178 + -30p = -28 + 0 -178 + -30p = -28 Add '178' to each side of the equation. -178 + 178 + -30p = -28 + 178 Combine like terms: -178 + 178 = 0 0 + -30p = -28 + 178 -30p = -28 + 178 Combine like terms: -28 + 178 = 150 -30p = 150 Divide each side by '-30'. p = -5 Simplifying p = -5
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