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Simplifying 1 + 4.7p + -2.915 = 5.5p + 0.565 Reorder the terms: 1 + -2.915 + 4.7p = 5.5p + 0.565 Combine like terms: 1 + -2.915 = -1.915 -1.915 + 4.7p = 5.5p + 0.565 Reorder the terms: -1.915 + 4.7p = 0.565 + 5.5p Solving -1.915 + 4.7p = 0.565 + 5.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5.5p' to each side of the equation. -1.915 + 4.7p + -5.5p = 0.565 + 5.5p + -5.5p Combine like terms: 4.7p + -5.5p = -0.8p -1.915 + -0.8p = 0.565 + 5.5p + -5.5p Combine like terms: 5.5p + -5.5p = 0.0 -1.915 + -0.8p = 0.565 + 0.0 -1.915 + -0.8p = 0.565 Add '1.915' to each side of the equation. -1.915 + 1.915 + -0.8p = 0.565 + 1.915 Combine like terms: -1.915 + 1.915 = 0.000 0.000 + -0.8p = 0.565 + 1.915 -0.8p = 0.565 + 1.915 Combine like terms: 0.565 + 1.915 = 2.48 -0.8p = 2.48 Divide each side by '-0.8'. p = -3.1 Simplifying p = -3.1
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