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Simplifying 7c + 12 = -1c + 78 Reorder the terms: 12 + 7c = -1c + 78 Reorder the terms: 12 + 7c = 78 + -1c Solving 12 + 7c = 78 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 12 + 7c + c = 78 + -1c + c Combine like terms: 7c + c = 8c 12 + 8c = 78 + -1c + c Combine like terms: -1c + c = 0 12 + 8c = 78 + 0 12 + 8c = 78 Add '-12' to each side of the equation. 12 + -12 + 8c = 78 + -12 Combine like terms: 12 + -12 = 0 0 + 8c = 78 + -12 8c = 78 + -12 Combine like terms: 78 + -12 = 66 8c = 66 Divide each side by '8'. c = 8.25 Simplifying c = 8.25
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