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Simplifying 0.6666(6c + 4) + -1(8c + -5) = 0 Reorder the terms: 0.6666(4 + 6c) + -1(8c + -5) = 0 (4 * 0.6666 + 6c * 0.6666) + -1(8c + -5) = 0 (2.6664 + 3.9996c) + -1(8c + -5) = 0 Reorder the terms: 2.6664 + 3.9996c + -1(-5 + 8c) = 0 2.6664 + 3.9996c + (-5 * -1 + 8c * -1) = 0 2.6664 + 3.9996c + (5 + -8c) = 0 Reorder the terms: 2.6664 + 5 + 3.9996c + -8c = 0 Combine like terms: 2.6664 + 5 = 7.6664 7.6664 + 3.9996c + -8c = 0 Combine like terms: 3.9996c + -8c = -4.0004c 7.6664 + -4.0004c = 0 Solving 7.6664 + -4.0004c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7.6664' to each side of the equation. 7.6664 + -7.6664 + -4.0004c = 0 + -7.6664 Combine like terms: 7.6664 + -7.6664 = 0.0000 0.0000 + -4.0004c = 0 + -7.6664 -4.0004c = 0 + -7.6664 Combine like terms: 0 + -7.6664 = -7.6664 -4.0004c = -7.6664 Divide each side by '-4.0004'. c = 1.916408359 Simplifying c = 1.916408359
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