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Simplifying 0.33(6c + 9) + -1(8c + -5) = 0 Reorder the terms: 0.33(9 + 6c) + -1(8c + -5) = 0 (9 * 0.33 + 6c * 0.33) + -1(8c + -5) = 0 (2.97 + 1.98c) + -1(8c + -5) = 0 Reorder the terms: 2.97 + 1.98c + -1(-5 + 8c) = 0 2.97 + 1.98c + (-5 * -1 + 8c * -1) = 0 2.97 + 1.98c + (5 + -8c) = 0 Reorder the terms: 2.97 + 5 + 1.98c + -8c = 0 Combine like terms: 2.97 + 5 = 7.97 7.97 + 1.98c + -8c = 0 Combine like terms: 1.98c + -8c = -6.02c 7.97 + -6.02c = 0 Solving 7.97 + -6.02c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7.97' to each side of the equation. 7.97 + -7.97 + -6.02c = 0 + -7.97 Combine like terms: 7.97 + -7.97 = 0.00 0.00 + -6.02c = 0 + -7.97 -6.02c = 0 + -7.97 Combine like terms: 0 + -7.97 = -7.97 -6.02c = -7.97 Divide each side by '-6.02'. c = 1.323920266 Simplifying c = 1.323920266
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