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Simplifying 0.02(4c + -44) = -0.4(c + -5) Reorder the terms: 0.02(-44 + 4c) = -0.4(c + -5) (-44 * 0.02 + 4c * 0.02) = -0.4(c + -5) (-0.88 + 0.08c) = -0.4(c + -5) Reorder the terms: -0.88 + 0.08c = -0.4(-5 + c) -0.88 + 0.08c = (-5 * -0.4 + c * -0.4) -0.88 + 0.08c = (2 + -0.4c) Solving -0.88 + 0.08c = 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. -0.88 + 0.08c + 0.4c = 2 + -0.4c + 0.4c Combine like terms: 0.08c + 0.4c = 0.48c -0.88 + 0.48c = 2 + -0.4c + 0.4c Combine like terms: -0.4c + 0.4c = 0.0 -0.88 + 0.48c = 2 + 0.0 -0.88 + 0.48c = 2 Add '0.88' to each side of the equation. -0.88 + 0.88 + 0.48c = 2 + 0.88 Combine like terms: -0.88 + 0.88 = 0.00 0.00 + 0.48c = 2 + 0.88 0.48c = 2 + 0.88 Combine like terms: 2 + 0.88 = 2.88 0.48c = 2.88 Divide each side by '0.48'. c = 6 Simplifying c = 6
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