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Simplifying 0.125(-8c + 16) + -0.333(6 + 3c) = 0 Reorder the terms: 0.125(16 + -8c) + -0.333(6 + 3c) = 0 (16 * 0.125 + -8c * 0.125) + -0.333(6 + 3c) = 0 (2 + -1c) + -0.333(6 + 3c) = 0 2 + -1c + (6 * -0.333 + 3c * -0.333) = 0 2 + -1c + (-1.998 + -0.999c) = 0 Reorder the terms: 2 + -1.998 + -1c + -0.999c = 0 Combine like terms: 2 + -1.998 = 0.002 0.002 + -1c + -0.999c = 0 Combine like terms: -1c + -0.999c = -1.999c 0.002 + -1.999c = 0 Solving 0.002 + -1.999c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.002' to each side of the equation. 0.002 + -0.002 + -1.999c = 0 + -0.002 Combine like terms: 0.002 + -0.002 = 0.000 0.000 + -1.999c = 0 + -0.002 -1.999c = 0 + -0.002 Combine like terms: 0 + -0.002 = -0.002 -1.999c = -0.002 Divide each side by '-1.999'. c = 0.00100050025 Simplifying c = 0.00100050025
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