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Simplifying 2(4c + -3) + -5 = 6c + 9 Reorder the terms: 2(-3 + 4c) + -5 = 6c + 9 (-3 * 2 + 4c * 2) + -5 = 6c + 9 (-6 + 8c) + -5 = 6c + 9 Reorder the terms: -6 + -5 + 8c = 6c + 9 Combine like terms: -6 + -5 = -11 -11 + 8c = 6c + 9 Reorder the terms: -11 + 8c = 9 + 6c Solving -11 + 8c = 9 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -11 + 8c + -6c = 9 + 6c + -6c Combine like terms: 8c + -6c = 2c -11 + 2c = 9 + 6c + -6c Combine like terms: 6c + -6c = 0 -11 + 2c = 9 + 0 -11 + 2c = 9 Add '11' to each side of the equation. -11 + 11 + 2c = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 2c = 9 + 11 2c = 9 + 11 Combine like terms: 9 + 11 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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