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Simplifying -122 = 3 + -5(7 + -6p) -122 = 3 + (7 * -5 + -6p * -5) -122 = 3 + (-35 + 30p) Combine like terms: 3 + -35 = -32 -122 = -32 + 30p Solving -122 = -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. -122 + -30p = -32 + 30p + -30p Combine like terms: 30p + -30p = 0 -122 + -30p = -32 + 0 -122 + -30p = -32 Add '122' to each side of the equation. -122 + 122 + -30p = -32 + 122 Combine like terms: -122 + 122 = 0 0 + -30p = -32 + 122 -30p = -32 + 122 Combine like terms: -32 + 122 = 90 -30p = 90 Divide each side by '-30'. p = -3 Simplifying p = -3
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