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Simplifying 6(7p + 2) + 8p = 12 + 4p Reorder the terms: 6(2 + 7p) + 8p = 12 + 4p (2 * 6 + 7p * 6) + 8p = 12 + 4p (12 + 42p) + 8p = 12 + 4p Combine like terms: 42p + 8p = 50p 12 + 50p = 12 + 4p Add '-12' to each side of the equation. 12 + -12 + 50p = 12 + -12 + 4p Combine like terms: 12 + -12 = 0 0 + 50p = 12 + -12 + 4p 50p = 12 + -12 + 4p Combine like terms: 12 + -12 = 0 50p = 0 + 4p 50p = 4p Solving 50p = 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 50p + -4p = 4p + -4p Combine like terms: 50p + -4p = 46p 46p = 4p + -4p Combine like terms: 4p + -4p = 0 46p = 0 Divide each side by '46'. p = 0 Simplifying p = 0
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