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Simplifying -5.9c + 4.5 = (3c + 0.6) + 3.1c Reorder the terms: 4.5 + -5.9c = (3c + 0.6) + 3.1c Reorder the terms: 4.5 + -5.9c = (0.6 + 3c) + 3.1c Remove parenthesis around (0.6 + 3c) 4.5 + -5.9c = 0.6 + 3c + 3.1c Combine like terms: 3c + 3.1c = 6.1c 4.5 + -5.9c = 0.6 + 6.1c Solving 4.5 + -5.9c = 0.6 + 6.1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6.1c' to each side of the equation. 4.5 + -5.9c + -6.1c = 0.6 + 6.1c + -6.1c Combine like terms: -5.9c + -6.1c = -12c 4.5 + -12c = 0.6 + 6.1c + -6.1c Combine like terms: 6.1c + -6.1c = 0.0 4.5 + -12c = 0.6 + 0.0 4.5 + -12c = 0.6 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -12c = 0.6 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -12c = 0.6 + -4.5 -12c = 0.6 + -4.5 Combine like terms: 0.6 + -4.5 = -3.9 -12c = -3.9 Divide each side by '-12'. c = 0.325 Simplifying c = 0.325
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