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Simplifying 7 + -4c = 3c + 45 Reorder the terms: 7 + -4c = 45 + 3c Solving 7 + -4c = 45 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 7 + -4c + -3c = 45 + 3c + -3c Combine like terms: -4c + -3c = -7c 7 + -7c = 45 + 3c + -3c Combine like terms: 3c + -3c = 0 7 + -7c = 45 + 0 7 + -7c = 45 Add '-7' to each side of the equation. 7 + -7 + -7c = 45 + -7 Combine like terms: 7 + -7 = 0 0 + -7c = 45 + -7 -7c = 45 + -7 Combine like terms: 45 + -7 = 38 -7c = 38 Divide each side by '-7'. c = -5.428571429 Simplifying c = -5.428571429
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