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Simplifying 5p + -12p + 6 = -4p + -2 Reorder the terms: 6 + 5p + -12p = -4p + -2 Combine like terms: 5p + -12p = -7p 6 + -7p = -4p + -2 Reorder the terms: 6 + -7p = -2 + -4p Solving 6 + -7p = -2 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 6 + -7p + 4p = -2 + -4p + 4p Combine like terms: -7p + 4p = -3p 6 + -3p = -2 + -4p + 4p Combine like terms: -4p + 4p = 0 6 + -3p = -2 + 0 6 + -3p = -2 Add '-6' to each side of the equation. 6 + -6 + -3p = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -3p = -2 + -6 -3p = -2 + -6 Combine like terms: -2 + -6 = -8 -3p = -8 Divide each side by '-3'. p = 2.666666667 Simplifying p = 2.666666667
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