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Simplifying 7c + 12 = -4c + 75 Reorder the terms: 12 + 7c = -4c + 75 Reorder the terms: 12 + 7c = 75 + -4c Solving 12 + 7c = 75 + -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. 12 + 7c + 4c = 75 + -4c + 4c Combine like terms: 7c + 4c = 11c 12 + 11c = 75 + -4c + 4c Combine like terms: -4c + 4c = 0 12 + 11c = 75 + 0 12 + 11c = 75 Add '-12' to each side of the equation. 12 + -12 + 11c = 75 + -12 Combine like terms: 12 + -12 = 0 0 + 11c = 75 + -12 11c = 75 + -12 Combine like terms: 75 + -12 = 63 11c = 63 Divide each side by '11'. c = 5.727272727 Simplifying c = 5.727272727
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