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Simplifying -3c + 40 = 4 + -7c Reorder the terms: 40 + -3c = 4 + -7c Solving 40 + -3c = 4 + -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. 40 + -3c + 7c = 4 + -7c + 7c Combine like terms: -3c + 7c = 4c 40 + 4c = 4 + -7c + 7c Combine like terms: -7c + 7c = 0 40 + 4c = 4 + 0 40 + 4c = 4 Add '-40' to each side of the equation. 40 + -40 + 4c = 4 + -40 Combine like terms: 40 + -40 = 0 0 + 4c = 4 + -40 4c = 4 + -40 Combine like terms: 4 + -40 = -36 4c = -36 Divide each side by '4'. c = -9 Simplifying c = -9
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