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Simplifying 0.02(6c + -44) = -0.4(c + -3) Reorder the terms: 0.02(-44 + 6c) = -0.4(c + -3) (-44 * 0.02 + 6c * 0.02) = -0.4(c + -3) (-0.88 + 0.12c) = -0.4(c + -3) Reorder the terms: -0.88 + 0.12c = -0.4(-3 + c) -0.88 + 0.12c = (-3 * -0.4 + c * -0.4) -0.88 + 0.12c = (1.2 + -0.4c) Solving -0.88 + 0.12c = 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. -0.88 + 0.12c + 0.4c = 1.2 + -0.4c + 0.4c Combine like terms: 0.12c + 0.4c = 0.52c -0.88 + 0.52c = 1.2 + -0.4c + 0.4c Combine like terms: -0.4c + 0.4c = 0.0 -0.88 + 0.52c = 1.2 + 0.0 -0.88 + 0.52c = 1.2 Add '0.88' to each side of the equation. -0.88 + 0.88 + 0.52c = 1.2 + 0.88 Combine like terms: -0.88 + 0.88 = 0.00 0.00 + 0.52c = 1.2 + 0.88 0.52c = 1.2 + 0.88 Combine like terms: 1.2 + 0.88 = 2.08 0.52c = 2.08 Divide each side by '0.52'. c = 4 Simplifying c = 4
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