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Simplifying 2p + -5.14 + -1.6p = -15.83 + 3.3 + -1.5p + -0.4 Reorder the terms: -5.14 + 2p + -1.6p = -15.83 + 3.3 + -1.5p + -0.4 Combine like terms: 2p + -1.6p = 0.4p -5.14 + 0.4p = -15.83 + 3.3 + -1.5p + -0.4 Reorder the terms: -5.14 + 0.4p = -15.83 + 3.3 + -0.4 + -1.5p Combine like terms: -15.83 + 3.3 = -12.53 -5.14 + 0.4p = -12.53 + -0.4 + -1.5p Combine like terms: -12.53 + -0.4 = -12.93 -5.14 + 0.4p = -12.93 + -1.5p Solving -5.14 + 0.4p = -12.93 + -1.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '1.5p' to each side of the equation. -5.14 + 0.4p + 1.5p = -12.93 + -1.5p + 1.5p Combine like terms: 0.4p + 1.5p = 1.9p -5.14 + 1.9p = -12.93 + -1.5p + 1.5p Combine like terms: -1.5p + 1.5p = 0.0 -5.14 + 1.9p = -12.93 + 0.0 -5.14 + 1.9p = -12.93 Add '5.14' to each side of the equation. -5.14 + 5.14 + 1.9p = -12.93 + 5.14 Combine like terms: -5.14 + 5.14 = 0.00 0.00 + 1.9p = -12.93 + 5.14 1.9p = -12.93 + 5.14 Combine like terms: -12.93 + 5.14 = -7.79 1.9p = -7.79 Divide each side by '1.9'. p = -4.1 Simplifying p = -4.1
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