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Simplifying 0.125(-8c + 16) + -0.3(6 + 3c) = 0 Reorder the terms: 0.125(16 + -8c) + -0.3(6 + 3c) = 0 (16 * 0.125 + -8c * 0.125) + -0.3(6 + 3c) = 0 (2 + -1c) + -0.3(6 + 3c) = 0 2 + -1c + (6 * -0.3 + 3c * -0.3) = 0 2 + -1c + (-1.8 + -0.9c) = 0 Reorder the terms: 2 + -1.8 + -1c + -0.9c = 0 Combine like terms: 2 + -1.8 = 0.2 0.2 + -1c + -0.9c = 0 Combine like terms: -1c + -0.9c = -1.9c 0.2 + -1.9c = 0 Solving 0.2 + -1.9c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + -1.9c = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -1.9c = 0 + -0.2 -1.9c = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -1.9c = -0.2 Divide each side by '-1.9'. c = 0.1052631579 Simplifying c = 0.1052631579
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