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Simplifying 0.02(2c + -24) = -4(c + -1) Reorder the terms: 0.02(-24 + 2c) = -4(c + -1) (-24 * 0.02 + 2c * 0.02) = -4(c + -1) (-0.48 + 0.04c) = -4(c + -1) Reorder the terms: -0.48 + 0.04c = -4(-1 + c) -0.48 + 0.04c = (-1 * -4 + c * -4) -0.48 + 0.04c = (4 + -4c) Solving -0.48 + 0.04c = 4 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. -0.48 + 0.04c + 4c = 4 + -4c + 4c Combine like terms: 0.04c + 4c = 4.04c -0.48 + 4.04c = 4 + -4c + 4c Combine like terms: -4c + 4c = 0 -0.48 + 4.04c = 4 + 0 -0.48 + 4.04c = 4 Add '0.48' to each side of the equation. -0.48 + 0.48 + 4.04c = 4 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 4.04c = 4 + 0.48 4.04c = 4 + 0.48 Combine like terms: 4 + 0.48 = 4.48 4.04c = 4.48 Divide each side by '4.04'. c = 1.108910891 Simplifying c = 1.108910891
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