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Simplifying 0.02(2c + -72) = -0.4(c + -3) Reorder the terms: 0.02(-72 + 2c) = -0.4(c + -3) (-72 * 0.02 + 2c * 0.02) = -0.4(c + -3) (-1.44 + 0.04c) = -0.4(c + -3) Reorder the terms: -1.44 + 0.04c = -0.4(-3 + c) -1.44 + 0.04c = (-3 * -0.4 + c * -0.4) -1.44 + 0.04c = (1.2 + -0.4c) Solving -1.44 + 0.04c = 1.2 + -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. -1.44 + 0.04c + 0.4c = 1.2 + -0.4c + 0.4c Combine like terms: 0.04c + 0.4c = 0.44c -1.44 + 0.44c = 1.2 + -0.4c + 0.4c Combine like terms: -0.4c + 0.4c = 0.0 -1.44 + 0.44c = 1.2 + 0.0 -1.44 + 0.44c = 1.2 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.44c = 1.2 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.44c = 1.2 + 1.44 0.44c = 1.2 + 1.44 Combine like terms: 1.2 + 1.44 = 2.64 0.44c = 2.64 Divide each side by '0.44'. c = 6 Simplifying c = 6
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