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Simplifying -6 = -6(c + 7) Reorder the terms: -6 = -6(7 + c) -6 = (7 * -6 + c * -6) -6 = (-42 + -6c) Solving -6 = -42 + -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. -6 + 6c = -42 + -6c + 6c Combine like terms: -6c + 6c = 0 -6 + 6c = -42 + 0 -6 + 6c = -42 Add '6' to each side of the equation. -6 + 6 + 6c = -42 + 6 Combine like terms: -6 + 6 = 0 0 + 6c = -42 + 6 6c = -42 + 6 Combine like terms: -42 + 6 = -36 6c = -36 Divide each side by '6'. c = -6 Simplifying c = -6
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