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Simplifying 5(4c + -1) * 18 = 18c + 5 Reorder the terms: 5(-1 + 4c) * 18 = 18c + 5 Reorder the terms for easier multiplication: 5 * 18(-1 + 4c) = 18c + 5 Multiply 5 * 18 90(-1 + 4c) = 18c + 5 (-1 * 90 + 4c * 90) = 18c + 5 (-90 + 360c) = 18c + 5 Reorder the terms: -90 + 360c = 5 + 18c Solving -90 + 360c = 5 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. -90 + 360c + -18c = 5 + 18c + -18c Combine like terms: 360c + -18c = 342c -90 + 342c = 5 + 18c + -18c Combine like terms: 18c + -18c = 0 -90 + 342c = 5 + 0 -90 + 342c = 5 Add '90' to each side of the equation. -90 + 90 + 342c = 5 + 90 Combine like terms: -90 + 90 = 0 0 + 342c = 5 + 90 342c = 5 + 90 Combine like terms: 5 + 90 = 95 342c = 95 Divide each side by '342'. c = 0.2777777778 Simplifying c = 0.2777777778
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