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Simplifying 0.2(2c + -1) = 3c + -2 Reorder the terms: 0.2(-1 + 2c) = 3c + -2 (-1 * 0.2 + 2c * 0.2) = 3c + -2 (-0.2 + 0.4c) = 3c + -2 Reorder the terms: -0.2 + 0.4c = -2 + 3c Solving -0.2 + 0.4c = -2 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -0.2 + 0.4c + -3c = -2 + 3c + -3c Combine like terms: 0.4c + -3c = -2.6c -0.2 + -2.6c = -2 + 3c + -3c Combine like terms: 3c + -3c = 0 -0.2 + -2.6c = -2 + 0 -0.2 + -2.6c = -2 Add '0.2' to each side of the equation. -0.2 + 0.2 + -2.6c = -2 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -2.6c = -2 + 0.2 -2.6c = -2 + 0.2 Combine like terms: -2 + 0.2 = -1.8 -2.6c = -1.8 Divide each side by '-2.6'. c = 0.6923076923 Simplifying c = 0.6923076923
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