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Simplifying 0.04(4c + -84) = -0.8(c + -3) Reorder the terms: 0.04(-84 + 4c) = -0.8(c + -3) (-84 * 0.04 + 4c * 0.04) = -0.8(c + -3) (-3.36 + 0.16c) = -0.8(c + -3) Reorder the terms: -3.36 + 0.16c = -0.8(-3 + c) -3.36 + 0.16c = (-3 * -0.8 + c * -0.8) -3.36 + 0.16c = (2.4 + -0.8c) Solving -3.36 + 0.16c = 2.4 + -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. -3.36 + 0.16c + 0.8c = 2.4 + -0.8c + 0.8c Combine like terms: 0.16c + 0.8c = 0.96c -3.36 + 0.96c = 2.4 + -0.8c + 0.8c Combine like terms: -0.8c + 0.8c = 0.0 -3.36 + 0.96c = 2.4 + 0.0 -3.36 + 0.96c = 2.4 Add '3.36' to each side of the equation. -3.36 + 3.36 + 0.96c = 2.4 + 3.36 Combine like terms: -3.36 + 3.36 = 0.00 0.00 + 0.96c = 2.4 + 3.36 0.96c = 2.4 + 3.36 Combine like terms: 2.4 + 3.36 = 5.76 0.96c = 5.76 Divide each side by '0.96'. c = 6 Simplifying c = 6
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