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Simplifying 0.02(2c + -24) = -0.4(c + -1) Reorder the terms: 0.02(-24 + 2c) = -0.4(c + -1) (-24 * 0.02 + 2c * 0.02) = -0.4(c + -1) (-0.48 + 0.04c) = -0.4(c + -1) Reorder the terms: -0.48 + 0.04c = -0.4(-1 + c) -0.48 + 0.04c = (-1 * -0.4 + c * -0.4) -0.48 + 0.04c = (0.4 + -0.4c) Solving -0.48 + 0.04c = 0.4 + -0.4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.4c' to each side of the equation. -0.48 + 0.04c + 0.4c = 0.4 + -0.4c + 0.4c Combine like terms: 0.04c + 0.4c = 0.44c -0.48 + 0.44c = 0.4 + -0.4c + 0.4c Combine like terms: -0.4c + 0.4c = 0.0 -0.48 + 0.44c = 0.4 + 0.0 -0.48 + 0.44c = 0.4 Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.44c = 0.4 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.44c = 0.4 + 0.48 0.44c = 0.4 + 0.48 Combine like terms: 0.4 + 0.48 = 0.88 0.44c = 0.88 Divide each side by '0.44'. c = 2 Simplifying c = 2
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