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Simplifying 0.9p + -7 = 0.5p + 20 Reorder the terms: -7 + 0.9p = 0.5p + 20 Reorder the terms: -7 + 0.9p = 20 + 0.5p Solving -7 + 0.9p = 20 + 0.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.5p' to each side of the equation. -7 + 0.9p + -0.5p = 20 + 0.5p + -0.5p Combine like terms: 0.9p + -0.5p = 0.4p -7 + 0.4p = 20 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 -7 + 0.4p = 20 + 0.0 -7 + 0.4p = 20 Add '7' to each side of the equation. -7 + 7 + 0.4p = 20 + 7 Combine like terms: -7 + 7 = 0 0 + 0.4p = 20 + 7 0.4p = 20 + 7 Combine like terms: 20 + 7 = 27 0.4p = 27 Divide each side by '0.4'. p = 67.5 Simplifying p = 67.5
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