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Simplifying 6p + 2 = 3p + 1 Reorder the terms: 2 + 6p = 3p + 1 Reorder the terms: 2 + 6p = 1 + 3p Solving 2 + 6p = 1 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 2 + 6p + -3p = 1 + 3p + -3p Combine like terms: 6p + -3p = 3p 2 + 3p = 1 + 3p + -3p Combine like terms: 3p + -3p = 0 2 + 3p = 1 + 0 2 + 3p = 1 Add '-2' to each side of the equation. 2 + -2 + 3p = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 3p = 1 + -2 3p = 1 + -2 Combine like terms: 1 + -2 = -1 3p = -1 Divide each side by '3'. p = -0.3333333333 Simplifying p = -0.3333333333
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