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Simplifying 0.4p + 1 = 0.7p + -2 Reorder the terms: 1 + 0.4p = 0.7p + -2 Reorder the terms: 1 + 0.4p = -2 + 0.7p Solving 1 + 0.4p = -2 + 0.7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.7p' to each side of the equation. 1 + 0.4p + -0.7p = -2 + 0.7p + -0.7p Combine like terms: 0.4p + -0.7p = -0.3p 1 + -0.3p = -2 + 0.7p + -0.7p Combine like terms: 0.7p + -0.7p = 0.0 1 + -0.3p = -2 + 0.0 1 + -0.3p = -2 Add '-1' to each side of the equation. 1 + -1 + -0.3p = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -0.3p = -2 + -1 -0.3p = -2 + -1 Combine like terms: -2 + -1 = -3 -0.3p = -3 Divide each side by '-0.3'. p = 10 Simplifying p = 10
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