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Simplifying 0.04(4c + -40) = -0.8(c + -4) Reorder the terms: 0.04(-40 + 4c) = -0.8(c + -4) (-40 * 0.04 + 4c * 0.04) = -0.8(c + -4) (-1.6 + 0.16c) = -0.8(c + -4) Reorder the terms: -1.6 + 0.16c = -0.8(-4 + c) -1.6 + 0.16c = (-4 * -0.8 + c * -0.8) -1.6 + 0.16c = (3.2 + -0.8c) Solving -1.6 + 0.16c = 3.2 + -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. -1.6 + 0.16c + 0.8c = 3.2 + -0.8c + 0.8c Combine like terms: 0.16c + 0.8c = 0.96c -1.6 + 0.96c = 3.2 + -0.8c + 0.8c Combine like terms: -0.8c + 0.8c = 0.0 -1.6 + 0.96c = 3.2 + 0.0 -1.6 + 0.96c = 3.2 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.96c = 3.2 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.96c = 3.2 + 1.6 0.96c = 3.2 + 1.6 Combine like terms: 3.2 + 1.6 = 4.8 0.96c = 4.8 Divide each side by '0.96'. c = 5 Simplifying c = 5
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