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Simplifying 122 = 8p + -3(-6 + 7p) 122 = 8p + (-6 * -3 + 7p * -3) 122 = 8p + (18 + -21p) Reorder the terms: 122 = 18 + 8p + -21p Combine like terms: 8p + -21p = -13p 122 = 18 + -13p Solving 122 = 18 + -13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13p' to each side of the equation. 122 + 13p = 18 + -13p + 13p Combine like terms: -13p + 13p = 0 122 + 13p = 18 + 0 122 + 13p = 18 Add '-122' to each side of the equation. 122 + -122 + 13p = 18 + -122 Combine like terms: 122 + -122 = 0 0 + 13p = 18 + -122 13p = 18 + -122 Combine like terms: 18 + -122 = -104 13p = -104 Divide each side by '13'. p = -8 Simplifying p = -8
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