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Simplifying 10.9 + 0.5p = 0.9p + 5.3 Reorder the terms: 10.9 + 0.5p = 5.3 + 0.9p Solving 10.9 + 0.5p = 5.3 + 0.9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.9p' to each side of the equation. 10.9 + 0.5p + -0.9p = 5.3 + 0.9p + -0.9p Combine like terms: 0.5p + -0.9p = -0.4p 10.9 + -0.4p = 5.3 + 0.9p + -0.9p Combine like terms: 0.9p + -0.9p = 0.0 10.9 + -0.4p = 5.3 + 0.0 10.9 + -0.4p = 5.3 Add '-10.9' to each side of the equation. 10.9 + -10.9 + -0.4p = 5.3 + -10.9 Combine like terms: 10.9 + -10.9 = 0.0 0.0 + -0.4p = 5.3 + -10.9 -0.4p = 5.3 + -10.9 Combine like terms: 5.3 + -10.9 = -5.6 -0.4p = -5.6 Divide each side by '-0.4'. p = 14 Simplifying p = 14
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