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Simplifying 0.04(4c + -60) = -0.8(c + -3) Reorder the terms: 0.04(-60 + 4c) = -0.8(c + -3) (-60 * 0.04 + 4c * 0.04) = -0.8(c + -3) (-2.4 + 0.16c) = -0.8(c + -3) Reorder the terms: -2.4 + 0.16c = -0.8(-3 + c) -2.4 + 0.16c = (-3 * -0.8 + c * -0.8) -2.4 + 0.16c = (2.4 + -0.8c) Solving -2.4 + 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. -2.4 + 0.16c + 0.8c = 2.4 + -0.8c + 0.8c Combine like terms: 0.16c + 0.8c = 0.96c -2.4 + 0.96c = 2.4 + -0.8c + 0.8c Combine like terms: -0.8c + 0.8c = 0.0 -2.4 + 0.96c = 2.4 + 0.0 -2.4 + 0.96c = 2.4 Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.96c = 2.4 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.96c = 2.4 + 2.4 0.96c = 2.4 + 2.4 Combine like terms: 2.4 + 2.4 = 4.8 0.96c = 4.8 Divide each side by '0.96'. c = 5 Simplifying c = 5
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