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Simplifying -5(83p + -43.85) = -66.3p + -9(52.5p + -46.37) Reorder the terms: -5(-43.85 + 83p) = -66.3p + -9(52.5p + -46.37) (-43.85 * -5 + 83p * -5) = -66.3p + -9(52.5p + -46.37) (219.25 + -415p) = -66.3p + -9(52.5p + -46.37) Reorder the terms: 219.25 + -415p = -66.3p + -9(-46.37 + 52.5p) 219.25 + -415p = -66.3p + (-46.37 * -9 + 52.5p * -9) 219.25 + -415p = -66.3p + (417.33 + -472.5p) Reorder the terms: 219.25 + -415p = 417.33 + -66.3p + -472.5p Combine like terms: -66.3p + -472.5p = -538.8p 219.25 + -415p = 417.33 + -538.8p Solving 219.25 + -415p = 417.33 + -538.8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '538.8p' to each side of the equation. 219.25 + -415p + 538.8p = 417.33 + -538.8p + 538.8p Combine like terms: -415p + 538.8p = 123.8p 219.25 + 123.8p = 417.33 + -538.8p + 538.8p Combine like terms: -538.8p + 538.8p = 0.0 219.25 + 123.8p = 417.33 + 0.0 219.25 + 123.8p = 417.33 Add '-219.25' to each side of the equation. 219.25 + -219.25 + 123.8p = 417.33 + -219.25 Combine like terms: 219.25 + -219.25 = 0.00 0.00 + 123.8p = 417.33 + -219.25 123.8p = 417.33 + -219.25 Combine like terms: 417.33 + -219.25 = 198.08 123.8p = 198.08 Divide each side by '123.8'. p = 1.6 Simplifying p = 1.6
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