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Simplifying 0.33333(8 + 2c) = 0.2(3c + -5) (8 * 0.33333 + 2c * 0.33333) = 0.2(3c + -5) (2.66664 + 0.66666c) = 0.2(3c + -5) Reorder the terms: 2.66664 + 0.66666c = 0.2(-5 + 3c) 2.66664 + 0.66666c = (-5 * 0.2 + 3c * 0.2) 2.66664 + 0.66666c = (-1 + 0.6c) Solving 2.66664 + 0.66666c = -1 + 0.6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.6c' to each side of the equation. 2.66664 + 0.66666c + -0.6c = -1 + 0.6c + -0.6c Combine like terms: 0.66666c + -0.6c = 0.06666c 2.66664 + 0.06666c = -1 + 0.6c + -0.6c Combine like terms: 0.6c + -0.6c = 0.0 2.66664 + 0.06666c = -1 + 0.0 2.66664 + 0.06666c = -1 Add '-2.66664' to each side of the equation. 2.66664 + -2.66664 + 0.06666c = -1 + -2.66664 Combine like terms: 2.66664 + -2.66664 = 0.00000 0.00000 + 0.06666c = -1 + -2.66664 0.06666c = -1 + -2.66664 Combine like terms: -1 + -2.66664 = -3.66664 0.06666c = -3.66664 Divide each side by '0.06666'. c = -55.00510051 Simplifying c = -55.00510051
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