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Simplifying 2(4c + -1) + -1 = 6c + 7 Reorder the terms: 2(-1 + 4c) + -1 = 6c + 7 (-1 * 2 + 4c * 2) + -1 = 6c + 7 (-2 + 8c) + -1 = 6c + 7 Reorder the terms: -2 + -1 + 8c = 6c + 7 Combine like terms: -2 + -1 = -3 -3 + 8c = 6c + 7 Reorder the terms: -3 + 8c = 7 + 6c Solving -3 + 8c = 7 + 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. -3 + 8c + -6c = 7 + 6c + -6c Combine like terms: 8c + -6c = 2c -3 + 2c = 7 + 6c + -6c Combine like terms: 6c + -6c = 0 -3 + 2c = 7 + 0 -3 + 2c = 7 Add '3' to each side of the equation. -3 + 3 + 2c = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 2c = 7 + 3 2c = 7 + 3 Combine like terms: 7 + 3 = 10 2c = 10 Divide each side by '2'. c = 5 Simplifying c = 5
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