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Simplifying 2(4c + -1) + -3 = 6c + 9 Reorder the terms: 2(-1 + 4c) + -3 = 6c + 9 (-1 * 2 + 4c * 2) + -3 = 6c + 9 (-2 + 8c) + -3 = 6c + 9 Reorder the terms: -2 + -3 + 8c = 6c + 9 Combine like terms: -2 + -3 = -5 -5 + 8c = 6c + 9 Reorder the terms: -5 + 8c = 9 + 6c Solving -5 + 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. -5 + 8c + -6c = 9 + 6c + -6c Combine like terms: 8c + -6c = 2c -5 + 2c = 9 + 6c + -6c Combine like terms: 6c + -6c = 0 -5 + 2c = 9 + 0 -5 + 2c = 9 Add '5' to each side of the equation. -5 + 5 + 2c = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2c = 9 + 5 2c = 9 + 5 Combine like terms: 9 + 5 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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