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Simplifying 3p + -2 = 6(4p + 2) Reorder the terms: -2 + 3p = 6(4p + 2) Reorder the terms: -2 + 3p = 6(2 + 4p) -2 + 3p = (2 * 6 + 4p * 6) -2 + 3p = (12 + 24p) Solving -2 + 3p = 12 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -2 + 3p + -24p = 12 + 24p + -24p Combine like terms: 3p + -24p = -21p -2 + -21p = 12 + 24p + -24p Combine like terms: 24p + -24p = 0 -2 + -21p = 12 + 0 -2 + -21p = 12 Add '2' to each side of the equation. -2 + 2 + -21p = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -21p = 12 + 2 -21p = 12 + 2 Combine like terms: 12 + 2 = 14 -21p = 14 Divide each side by '-21'. p = -0.6666666667 Simplifying p = -0.6666666667
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