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Simplifying (6c + -5) + 8(3c + 4) = 0 Reorder the terms: (-5 + 6c) + 8(3c + 4) = 0 Remove parenthesis around (-5 + 6c) -5 + 6c + 8(3c + 4) = 0 Reorder the terms: -5 + 6c + 8(4 + 3c) = 0 -5 + 6c + (4 * 8 + 3c * 8) = 0 -5 + 6c + (32 + 24c) = 0 Reorder the terms: -5 + 32 + 6c + 24c = 0 Combine like terms: -5 + 32 = 27 27 + 6c + 24c = 0 Combine like terms: 6c + 24c = 30c 27 + 30c = 0 Solving 27 + 30c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 30c = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 30c = 0 + -27 30c = 0 + -27 Combine like terms: 0 + -27 = -27 30c = -27 Divide each side by '30'. c = -0.9 Simplifying c = -0.9
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