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Simplifying -4p + -2 + 8p = -3 + p + 6 Reorder the terms: -2 + -4p + 8p = -3 + p + 6 Combine like terms: -4p + 8p = 4p -2 + 4p = -3 + p + 6 Reorder the terms: -2 + 4p = -3 + 6 + p Combine like terms: -3 + 6 = 3 -2 + 4p = 3 + p Solving -2 + 4p = 3 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -2 + 4p + -1p = 3 + p + -1p Combine like terms: 4p + -1p = 3p -2 + 3p = 3 + p + -1p Combine like terms: p + -1p = 0 -2 + 3p = 3 + 0 -2 + 3p = 3 Add '2' to each side of the equation. -2 + 2 + 3p = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 3p = 3 + 2 3p = 3 + 2 Combine like terms: 3 + 2 = 5 3p = 5 Divide each side by '3'. p = 1.666666667 Simplifying p = 1.666666667
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