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Simplifying 2(4c + -1) + -5 = 6c + 9 Reorder the terms: 2(-1 + 4c) + -5 = 6c + 9 (-1 * 2 + 4c * 2) + -5 = 6c + 9 (-2 + 8c) + -5 = 6c + 9 Reorder the terms: -2 + -5 + 8c = 6c + 9 Combine like terms: -2 + -5 = -7 -7 + 8c = 6c + 9 Reorder the terms: -7 + 8c = 9 + 6c Solving -7 + 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. -7 + 8c + -6c = 9 + 6c + -6c Combine like terms: 8c + -6c = 2c -7 + 2c = 9 + 6c + -6c Combine like terms: 6c + -6c = 0 -7 + 2c = 9 + 0 -7 + 2c = 9 Add '7' to each side of the equation. -7 + 7 + 2c = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 2c = 9 + 7 2c = 9 + 7 Combine like terms: 9 + 7 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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