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Simplifying 0.02(8c + -44) = -0.4(c + -2) Reorder the terms: 0.02(-44 + 8c) = -0.4(c + -2) (-44 * 0.02 + 8c * 0.02) = -0.4(c + -2) (-0.88 + 0.16c) = -0.4(c + -2) Reorder the terms: -0.88 + 0.16c = -0.4(-2 + c) -0.88 + 0.16c = (-2 * -0.4 + c * -0.4) -0.88 + 0.16c = (0.8 + -0.4c) Solving -0.88 + 0.16c = 0.8 + -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 + 0.16c + 0.4c = 0.8 + -0.4c + 0.4c Combine like terms: 0.16c + 0.4c = 0.56c -0.88 + 0.56c = 0.8 + -0.4c + 0.4c Combine like terms: -0.4c + 0.4c = 0.0 -0.88 + 0.56c = 0.8 + 0.0 -0.88 + 0.56c = 0.8 Add '0.88' to each side of the equation. -0.88 + 0.88 + 0.56c = 0.8 + 0.88 Combine like terms: -0.88 + 0.88 = 0.00 0.00 + 0.56c = 0.8 + 0.88 0.56c = 0.8 + 0.88 Combine like terms: 0.8 + 0.88 = 1.68 0.56c = 1.68 Divide each side by '0.56'. c = 3 Simplifying c = 3
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