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Simplifying 0.25(8c + -12) + c = 0.3333333(6c) + 6 Reorder the terms: 0.25(-12 + 8c) + c = 0.3333333(6c) + 6 (-12 * 0.25 + 8c * 0.25) + c = 0.3333333(6c) + 6 (-3 + 2c) + c = 0.3333333(6c) + 6 Combine like terms: 2c + c = 3c -3 + 3c = 0.3333333(6c) + 6 Remove parenthesis around (6c) -3 + 3c = 0.3333333 * 6c + 6 Multiply 0.3333333 * 6 -3 + 3c = 1.9999998c + 6 Reorder the terms: -3 + 3c = 6 + 1.9999998c Solving -3 + 3c = 6 + 1.9999998c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1.9999998c' to each side of the equation. -3 + 3c + -1.9999998c = 6 + 1.9999998c + -1.9999998c Combine like terms: 3c + -1.9999998c = 1.0000002c -3 + 1.0000002c = 6 + 1.9999998c + -1.9999998c Combine like terms: 1.9999998c + -1.9999998c = 0.0000000 -3 + 1.0000002c = 6 + 0.0000000 -3 + 1.0000002c = 6 Add '3' to each side of the equation. -3 + 3 + 1.0000002c = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 1.0000002c = 6 + 3 1.0000002c = 6 + 3 Combine like terms: 6 + 3 = 9 1.0000002c = 9 Divide each side by '1.0000002'. c = 8.9999982 Simplifying c = 8.9999982
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