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Simplifying 0.04(4c + -44) = -0.8(c + -5) Reorder the terms: 0.04(-44 + 4c) = -0.8(c + -5) (-44 * 0.04 + 4c * 0.04) = -0.8(c + -5) (-1.76 + 0.16c) = -0.8(c + -5) Reorder the terms: -1.76 + 0.16c = -0.8(-5 + c) -1.76 + 0.16c = (-5 * -0.8 + c * -0.8) -1.76 + 0.16c = (4 + -0.8c) Solving -1.76 + 0.16c = 4 + -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. -1.76 + 0.16c + 0.8c = 4 + -0.8c + 0.8c Combine like terms: 0.16c + 0.8c = 0.96c -1.76 + 0.96c = 4 + -0.8c + 0.8c Combine like terms: -0.8c + 0.8c = 0.0 -1.76 + 0.96c = 4 + 0.0 -1.76 + 0.96c = 4 Add '1.76' to each side of the equation. -1.76 + 1.76 + 0.96c = 4 + 1.76 Combine like terms: -1.76 + 1.76 = 0.00 0.00 + 0.96c = 4 + 1.76 0.96c = 4 + 1.76 Combine like terms: 4 + 1.76 = 5.76 0.96c = 5.76 Divide each side by '0.96'. c = 6 Simplifying c = 6
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