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Simplifying 0.666666667(6c + -18) + 0.75(8c + 32) = -18 Reorder the terms: 0.666666667(-18 + 6c) + 0.75(8c + 32) = -18 (-18 * 0.666666667 + 6c * 0.666666667) + 0.75(8c + 32) = -18 (-12.00000001 + 4.000000002c) + 0.75(8c + 32) = -18 Reorder the terms: -12.00000001 + 4.000000002c + 0.75(32 + 8c) = -18 -12.00000001 + 4.000000002c + (32 * 0.75 + 8c * 0.75) = -18 -12.00000001 + 4.000000002c + (24 + 6c) = -18 Reorder the terms: -12.00000001 + 24 + 4.000000002c + 6c = -18 Combine like terms: -12.00000001 + 24 = 11.99999999 11.99999999 + 4.000000002c + 6c = -18 Combine like terms: 4.000000002c + 6c = 10.000000002c 11.99999999 + 10.000000002c = -18 Solving 11.99999999 + 10.000000002c = -18 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11.99999999' to each side of the equation. 11.99999999 + -11.99999999 + 10.000000002c = -18 + -11.99999999 Combine like terms: 11.99999999 + -11.99999999 = 0.00000000 0.00000000 + 10.000000002c = -18 + -11.99999999 10.000000002c = -18 + -11.99999999 Combine like terms: -18 + -11.99999999 = -29.99999999 10.000000002c = -29.99999999 Divide each side by '10.000000002'. c = -2.999999998 Simplifying c = -2.999999998
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