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Simplifying 0.2p + 2.4 = 1.6p + -1.2 + 0.6 Reorder the terms: 2.4 + 0.2p = 1.6p + -1.2 + 0.6 Reorder the terms: 2.4 + 0.2p = -1.2 + 0.6 + 1.6p Combine like terms: -1.2 + 0.6 = -0.6 2.4 + 0.2p = -0.6 + 1.6p Solving 2.4 + 0.2p = -0.6 + 1.6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.6p' to each side of the equation. 2.4 + 0.2p + -1.6p = -0.6 + 1.6p + -1.6p Combine like terms: 0.2p + -1.6p = -1.4p 2.4 + -1.4p = -0.6 + 1.6p + -1.6p Combine like terms: 1.6p + -1.6p = 0.0 2.4 + -1.4p = -0.6 + 0.0 2.4 + -1.4p = -0.6 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -1.4p = -0.6 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -1.4p = -0.6 + -2.4 -1.4p = -0.6 + -2.4 Combine like terms: -0.6 + -2.4 = -3 -1.4p = -3 Divide each side by '-1.4'. p = 2.142857143 Simplifying p = 2.142857143
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