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Simplifying 4c + 12 = 7c + -6 Reorder the terms: 12 + 4c = 7c + -6 Reorder the terms: 12 + 4c = -6 + 7c Solving 12 + 4c = -6 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 12 + 4c + -7c = -6 + 7c + -7c Combine like terms: 4c + -7c = -3c 12 + -3c = -6 + 7c + -7c Combine like terms: 7c + -7c = 0 12 + -3c = -6 + 0 12 + -3c = -6 Add '-12' to each side of the equation. 12 + -12 + -3c = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -3c = -6 + -12 -3c = -6 + -12 Combine like terms: -6 + -12 = -18 -3c = -18 Divide each side by '-3'. c = 6 Simplifying c = 6
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