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Simplifying 6p + -2 + 1 = 8 + 3p Reorder the terms: -2 + 1 + 6p = 8 + 3p Combine like terms: -2 + 1 = -1 -1 + 6p = 8 + 3p Solving -1 + 6p = 8 + 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. -1 + 6p + -3p = 8 + 3p + -3p Combine like terms: 6p + -3p = 3p -1 + 3p = 8 + 3p + -3p Combine like terms: 3p + -3p = 0 -1 + 3p = 8 + 0 -1 + 3p = 8 Add '1' to each side of the equation. -1 + 1 + 3p = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3p = 8 + 1 3p = 8 + 1 Combine like terms: 8 + 1 = 9 3p = 9 Divide each side by '3'. p = 3 Simplifying p = 3
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