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Simplifying 0.59(c + 2.8) + -1c = 0.6c + 0.3 Reorder the terms: 0.59(2.8 + c) + -1c = 0.6c + 0.3 (2.8 * 0.59 + c * 0.59) + -1c = 0.6c + 0.3 (1.652 + 0.59c) + -1c = 0.6c + 0.3 Combine like terms: 0.59c + -1c = -0.41c 1.652 + -0.41c = 0.6c + 0.3 Reorder the terms: 1.652 + -0.41c = 0.3 + 0.6c Solving 1.652 + -0.41c = 0.3 + 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. 1.652 + -0.41c + -0.6c = 0.3 + 0.6c + -0.6c Combine like terms: -0.41c + -0.6c = -1.01c 1.652 + -1.01c = 0.3 + 0.6c + -0.6c Combine like terms: 0.6c + -0.6c = 0.0 1.652 + -1.01c = 0.3 + 0.0 1.652 + -1.01c = 0.3 Add '-1.652' to each side of the equation. 1.652 + -1.652 + -1.01c = 0.3 + -1.652 Combine like terms: 1.652 + -1.652 = 0.000 0.000 + -1.01c = 0.3 + -1.652 -1.01c = 0.3 + -1.652 Combine like terms: 0.3 + -1.652 = -1.352 -1.01c = -1.352 Divide each side by '-1.01'. c = 1.338613861 Simplifying c = 1.338613861
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