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Simplifying 9c + 12 = -4c + 103 Reorder the terms: 12 + 9c = -4c + 103 Reorder the terms: 12 + 9c = 103 + -4c Solving 12 + 9c = 103 + -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 + 9c + 4c = 103 + -4c + 4c Combine like terms: 9c + 4c = 13c 12 + 13c = 103 + -4c + 4c Combine like terms: -4c + 4c = 0 12 + 13c = 103 + 0 12 + 13c = 103 Add '-12' to each side of the equation. 12 + -12 + 13c = 103 + -12 Combine like terms: 12 + -12 = 0 0 + 13c = 103 + -12 13c = 103 + -12 Combine like terms: 103 + -12 = 91 13c = 91 Divide each side by '13'. c = 7 Simplifying c = 7
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