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Simplifying 0.04(4c + -56) = -0.8(c + -2) Reorder the terms: 0.04(-56 + 4c) = -0.8(c + -2) (-56 * 0.04 + 4c * 0.04) = -0.8(c + -2) (-2.24 + 0.16c) = -0.8(c + -2) Reorder the terms: -2.24 + 0.16c = -0.8(-2 + c) -2.24 + 0.16c = (-2 * -0.8 + c * -0.8) -2.24 + 0.16c = (1.6 + -0.8c) Solving -2.24 + 0.16c = 1.6 + -0.8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.8c' to each side of the equation. -2.24 + 0.16c + 0.8c = 1.6 + -0.8c + 0.8c Combine like terms: 0.16c + 0.8c = 0.96c -2.24 + 0.96c = 1.6 + -0.8c + 0.8c Combine like terms: -0.8c + 0.8c = 0.0 -2.24 + 0.96c = 1.6 + 0.0 -2.24 + 0.96c = 1.6 Add '2.24' to each side of the equation. -2.24 + 2.24 + 0.96c = 1.6 + 2.24 Combine like terms: -2.24 + 2.24 = 0.00 0.00 + 0.96c = 1.6 + 2.24 0.96c = 1.6 + 2.24 Combine like terms: 1.6 + 2.24 = 3.84 0.96c = 3.84 Divide each side by '0.96'. c = 4 Simplifying c = 4
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