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Simplifying 12C + -42 = 5C + -7 Reorder the terms: -42 + 12C = 5C + -7 Reorder the terms: -42 + 12C = -7 + 5C Solving -42 + 12C = -7 + 5C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-5C' to each side of the equation. -42 + 12C + -5C = -7 + 5C + -5C Combine like terms: 12C + -5C = 7C -42 + 7C = -7 + 5C + -5C Combine like terms: 5C + -5C = 0 -42 + 7C = -7 + 0 -42 + 7C = -7 Add '42' to each side of the equation. -42 + 42 + 7C = -7 + 42 Combine like terms: -42 + 42 = 0 0 + 7C = -7 + 42 7C = -7 + 42 Combine like terms: -7 + 42 = 35 7C = 35 Divide each side by '7'. C = 5 Simplifying C = 5
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