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Simplifying -12.1 + 0.5 = 0.9p + 5.3 Combine like terms: -12.1 + 0.5 = -11.6 -11.6 = 0.9p + 5.3 Reorder the terms: -11.6 = 5.3 + 0.9p Solving -11.6 = 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. -11.6 + -0.9p = 5.3 + 0.9p + -0.9p Combine like terms: 0.9p + -0.9p = 0.0 -11.6 + -0.9p = 5.3 + 0.0 -11.6 + -0.9p = 5.3 Add '11.6' to each side of the equation. -11.6 + 11.6 + -0.9p = 5.3 + 11.6 Combine like terms: -11.6 + 11.6 = 0.0 0.0 + -0.9p = 5.3 + 11.6 -0.9p = 5.3 + 11.6 Combine like terms: 5.3 + 11.6 = 16.9 -0.9p = 16.9 Divide each side by '-0.9'. p = -18.77777778 Simplifying p = -18.77777778
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