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Simplifying 18(5p + -4) = 0.5p + 0.8 Reorder the terms: 18(-4 + 5p) = 0.5p + 0.8 (-4 * 18 + 5p * 18) = 0.5p + 0.8 (-72 + 90p) = 0.5p + 0.8 Reorder the terms: -72 + 90p = 0.8 + 0.5p Solving -72 + 90p = 0.8 + 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. -72 + 90p + -0.5p = 0.8 + 0.5p + -0.5p Combine like terms: 90p + -0.5p = 89.5p -72 + 89.5p = 0.8 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 -72 + 89.5p = 0.8 + 0.0 -72 + 89.5p = 0.8 Add '72' to each side of the equation. -72 + 72 + 89.5p = 0.8 + 72 Combine like terms: -72 + 72 = 0 0 + 89.5p = 0.8 + 72 89.5p = 0.8 + 72 Combine like terms: 0.8 + 72 = 72.8 89.5p = 72.8 Divide each side by '89.5'. p = 0.8134078212 Simplifying p = 0.8134078212
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