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Simplifying -4p + 3(2 + 8p) = 6.7 + 20.4p -4p + (2 * 3 + 8p * 3) = 6.7 + 20.4p -4p + (6 + 24p) = 6.7 + 20.4p Reorder the terms: 6 + -4p + 24p = 6.7 + 20.4p Combine like terms: -4p + 24p = 20p 6 + 20p = 6.7 + 20.4p Solving 6 + 20p = 6.7 + 20.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20.4p' to each side of the equation. 6 + 20p + -20.4p = 6.7 + 20.4p + -20.4p Combine like terms: 20p + -20.4p = -0.4p 6 + -0.4p = 6.7 + 20.4p + -20.4p Combine like terms: 20.4p + -20.4p = 0.0 6 + -0.4p = 6.7 + 0.0 6 + -0.4p = 6.7 Add '-6' to each side of the equation. 6 + -6 + -0.4p = 6.7 + -6 Combine like terms: 6 + -6 = 0 0 + -0.4p = 6.7 + -6 -0.4p = 6.7 + -6 Combine like terms: 6.7 + -6 = 0.7 -0.4p = 0.7 Divide each side by '-0.4'. p = -1.75 Simplifying p = -1.75
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