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Simplifying 6.1c + 8 = 7.1c + -3 Reorder the terms: 8 + 6.1c = 7.1c + -3 Reorder the terms: 8 + 6.1c = -3 + 7.1c Solving 8 + 6.1c = -3 + 7.1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7.1c' to each side of the equation. 8 + 6.1c + -7.1c = -3 + 7.1c + -7.1c Combine like terms: 6.1c + -7.1c = -1c 8 + -1c = -3 + 7.1c + -7.1c Combine like terms: 7.1c + -7.1c = 0.0 8 + -1c = -3 + 0.0 8 + -1c = -3 Add '-8' to each side of the equation. 8 + -8 + -1c = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -1c = -3 + -8 -1c = -3 + -8 Combine like terms: -3 + -8 = -11 -1c = -11 Divide each side by '-1'. c = 11 Simplifying c = 11
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