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Simplifying 0.04(4c + -76) = -0.8(c + -1) Reorder the terms: 0.04(-76 + 4c) = -0.8(c + -1) (-76 * 0.04 + 4c * 0.04) = -0.8(c + -1) (-3.04 + 0.16c) = -0.8(c + -1) Reorder the terms: -3.04 + 0.16c = -0.8(-1 + c) -3.04 + 0.16c = (-1 * -0.8 + c * -0.8) -3.04 + 0.16c = (0.8 + -0.8c) Solving -3.04 + 0.16c = 0.8 + -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. -3.04 + 0.16c + 0.8c = 0.8 + -0.8c + 0.8c Combine like terms: 0.16c + 0.8c = 0.96c -3.04 + 0.96c = 0.8 + -0.8c + 0.8c Combine like terms: -0.8c + 0.8c = 0.0 -3.04 + 0.96c = 0.8 + 0.0 -3.04 + 0.96c = 0.8 Add '3.04' to each side of the equation. -3.04 + 3.04 + 0.96c = 0.8 + 3.04 Combine like terms: -3.04 + 3.04 = 0.00 0.00 + 0.96c = 0.8 + 3.04 0.96c = 0.8 + 3.04 Combine like terms: 0.8 + 3.04 = 3.84 0.96c = 3.84 Divide each side by '0.96'. c = 4 Simplifying c = 4
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