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Simplifying -6(7x + c) = 0 Reorder the terms: -6(c + 7x) = 0 (c * -6 + 7x * -6) = 0 (-6c + -42x) = 0 Solving -6c + -42x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '42x' to each side of the equation. -6c + -42x + 42x = 0 + 42x Combine like terms: -42x + 42x = 0 -6c + 0 = 0 + 42x -6c = 0 + 42x Remove the zero: -6c = 42x Divide each side by '-6'. c = -7x Simplifying c = -7x
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