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Simplifying c + 30 = 4c + -6 Reorder the terms: 30 + c = 4c + -6 Reorder the terms: 30 + c = -6 + 4c Solving 30 + c = -6 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 30 + c + -4c = -6 + 4c + -4c Combine like terms: c + -4c = -3c 30 + -3c = -6 + 4c + -4c Combine like terms: 4c + -4c = 0 30 + -3c = -6 + 0 30 + -3c = -6 Add '-30' to each side of the equation. 30 + -30 + -3c = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -3c = -6 + -30 -3c = -6 + -30 Combine like terms: -6 + -30 = -36 -3c = -36 Divide each side by '-3'. c = 12 Simplifying c = 12
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