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Simplifying (4 + -0.5c) + -0.33[0.75(1 + -2c)] = 0.083 Remove parenthesis around (4 + -0.5c) 4 + -0.5c + -0.33[0.75(1 + -2c)] = 0.083 4 + -0.5c + -0.33[(1 * 0.75 + -2c * 0.75)] = 0.083 4 + -0.5c + -0.33[(0.75 + -1.5c)] = 0.083 4 + -0.5c + [0.75 * -0.33 + -1.5c * -0.33] = 0.083 4 + -0.5c + [-0.2475 + 0.495c] = 0.083 Reorder the terms: 4 + -0.2475 + -0.5c + 0.495c = 0.083 Combine like terms: 4 + -0.2475 = 3.7525 3.7525 + -0.5c + 0.495c = 0.083 Combine like terms: -0.5c + 0.495c = -0.005c 3.7525 + -0.005c = 0.083 Solving 3.7525 + -0.005c = 0.083 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3.7525' to each side of the equation. 3.7525 + -3.7525 + -0.005c = 0.083 + -3.7525 Combine like terms: 3.7525 + -3.7525 = 0.0000 0.0000 + -0.005c = 0.083 + -3.7525 -0.005c = 0.083 + -3.7525 Combine like terms: 0.083 + -3.7525 = -3.6695 -0.005c = -3.6695 Divide each side by '-0.005'. c = 733.9 Simplifying c = 733.9
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