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Simplifying 122 = 8 + -3(-4p + -6) Reorder the terms: 122 = 8 + -3(-6 + -4p) 122 = 8 + (-6 * -3 + -4p * -3) 122 = 8 + (18 + 12p) Combine like terms: 8 + 18 = 26 122 = 26 + 12p Solving 122 = 26 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 122 + -12p = 26 + 12p + -12p Combine like terms: 12p + -12p = 0 122 + -12p = 26 + 0 122 + -12p = 26 Add '-122' to each side of the equation. 122 + -122 + -12p = 26 + -122 Combine like terms: 122 + -122 = 0 0 + -12p = 26 + -122 -12p = 26 + -122 Combine like terms: 26 + -122 = -96 -12p = -96 Divide each side by '-12'. p = 8 Simplifying p = 8
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