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Simplifying 6c + 2(12c + -4) + 7 = 0 Reorder the terms: 6c + 2(-4 + 12c) + 7 = 0 6c + (-4 * 2 + 12c * 2) + 7 = 0 6c + (-8 + 24c) + 7 = 0 Reorder the terms: -8 + 7 + 6c + 24c = 0 Combine like terms: -8 + 7 = -1 -1 + 6c + 24c = 0 Combine like terms: 6c + 24c = 30c -1 + 30c = 0 Solving -1 + 30c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 30c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 30c = 0 + 1 30c = 0 + 1 Combine like terms: 0 + 1 = 1 30c = 1 Divide each side by '30'. c = 0.03333333333 Simplifying c = 0.03333333333
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