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Simplifying 34 + 4p = 6p + 2(7p + 1) Reorder the terms: 34 + 4p = 6p + 2(1 + 7p) 34 + 4p = 6p + (1 * 2 + 7p * 2) 34 + 4p = 6p + (2 + 14p) Reorder the terms: 34 + 4p = 2 + 6p + 14p Combine like terms: 6p + 14p = 20p 34 + 4p = 2 + 20p Solving 34 + 4p = 2 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. 34 + 4p + -20p = 2 + 20p + -20p Combine like terms: 4p + -20p = -16p 34 + -16p = 2 + 20p + -20p Combine like terms: 20p + -20p = 0 34 + -16p = 2 + 0 34 + -16p = 2 Add '-34' to each side of the equation. 34 + -34 + -16p = 2 + -34 Combine like terms: 34 + -34 = 0 0 + -16p = 2 + -34 -16p = 2 + -34 Combine like terms: 2 + -34 = -32 -16p = -32 Divide each side by '-16'. p = 2 Simplifying p = 2
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