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Simplifying 1 + -5.2p + 6.7p = 6.7 + -0.4p Combine like terms: -5.2p + 6.7p = 1.5p 1 + 1.5p = 6.7 + -0.4p Solving 1 + 1.5p = 6.7 + -0.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.4p' to each side of the equation. 1 + 1.5p + 0.4p = 6.7 + -0.4p + 0.4p Combine like terms: 1.5p + 0.4p = 1.9p 1 + 1.9p = 6.7 + -0.4p + 0.4p Combine like terms: -0.4p + 0.4p = 0.0 1 + 1.9p = 6.7 + 0.0 1 + 1.9p = 6.7 Add '-1' to each side of the equation. 1 + -1 + 1.9p = 6.7 + -1 Combine like terms: 1 + -1 = 0 0 + 1.9p = 6.7 + -1 1.9p = 6.7 + -1 Combine like terms: 6.7 + -1 = 5.7 1.9p = 5.7 Divide each side by '1.9'. p = 3 Simplifying p = 3
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