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Simplifying 0.04(2c + -72) = -0.08(c + -3) Reorder the terms: 0.04(-72 + 2c) = -0.08(c + -3) (-72 * 0.04 + 2c * 0.04) = -0.08(c + -3) (-2.88 + 0.08c) = -0.08(c + -3) Reorder the terms: -2.88 + 0.08c = -0.08(-3 + c) -2.88 + 0.08c = (-3 * -0.08 + c * -0.08) -2.88 + 0.08c = (0.24 + -0.08c) Solving -2.88 + 0.08c = 0.24 + -0.08c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.08c' to each side of the equation. -2.88 + 0.08c + 0.08c = 0.24 + -0.08c + 0.08c Combine like terms: 0.08c + 0.08c = 0.16c -2.88 + 0.16c = 0.24 + -0.08c + 0.08c Combine like terms: -0.08c + 0.08c = 0.00 -2.88 + 0.16c = 0.24 + 0.00 -2.88 + 0.16c = 0.24 Add '2.88' to each side of the equation. -2.88 + 2.88 + 0.16c = 0.24 + 2.88 Combine like terms: -2.88 + 2.88 = 0.00 0.00 + 0.16c = 0.24 + 2.88 0.16c = 0.24 + 2.88 Combine like terms: 0.24 + 2.88 = 3.12 0.16c = 3.12 Divide each side by '0.16'. c = 19.5 Simplifying c = 19.5
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