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Simplifying 6 = -12(7 + -1c) 6 = (7 * -12 + -1c * -12) 6 = (-84 + 12c) Solving 6 = -84 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 6 + -12c = -84 + 12c + -12c Combine like terms: 12c + -12c = 0 6 + -12c = -84 + 0 6 + -12c = -84 Add '-6' to each side of the equation. 6 + -6 + -12c = -84 + -6 Combine like terms: 6 + -6 = 0 0 + -12c = -84 + -6 -12c = -84 + -6 Combine like terms: -84 + -6 = -90 -12c = -90 Divide each side by '-12'. c = 7.5 Simplifying c = 7.5
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