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Simplifying 3c + 45 = 3 + -4c Reorder the terms: 45 + 3c = 3 + -4c Solving 45 + 3c = 3 + -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. 45 + 3c + 4c = 3 + -4c + 4c Combine like terms: 3c + 4c = 7c 45 + 7c = 3 + -4c + 4c Combine like terms: -4c + 4c = 0 45 + 7c = 3 + 0 45 + 7c = 3 Add '-45' to each side of the equation. 45 + -45 + 7c = 3 + -45 Combine like terms: 45 + -45 = 0 0 + 7c = 3 + -45 7c = 3 + -45 Combine like terms: 3 + -45 = -42 7c = -42 Divide each side by '7'. c = -6 Simplifying c = -6
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