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Simplifying 0.04(2c + -72) = -0.8(c + -3) Reorder the terms: 0.04(-72 + 2c) = -0.8(c + -3) (-72 * 0.04 + 2c * 0.04) = -0.8(c + -3) (-2.88 + 0.08c) = -0.8(c + -3) Reorder the terms: -2.88 + 0.08c = -0.8(-3 + c) -2.88 + 0.08c = (-3 * -0.8 + c * -0.8) -2.88 + 0.08c = (2.4 + -0.8c) Solving -2.88 + 0.08c = 2.4 + -0.8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.8c' to each side of the equation. -2.88 + 0.08c + 0.8c = 2.4 + -0.8c + 0.8c Combine like terms: 0.08c + 0.8c = 0.88c -2.88 + 0.88c = 2.4 + -0.8c + 0.8c Combine like terms: -0.8c + 0.8c = 0.0 -2.88 + 0.88c = 2.4 + 0.0 -2.88 + 0.88c = 2.4 Add '2.88' to each side of the equation. -2.88 + 2.88 + 0.88c = 2.4 + 2.88 Combine like terms: -2.88 + 2.88 = 0.00 0.00 + 0.88c = 2.4 + 2.88 0.88c = 2.4 + 2.88 Combine like terms: 2.4 + 2.88 = 5.28 0.88c = 5.28 Divide each side by '0.88'. c = 6 Simplifying c = 6
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