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Simplifying 5c + 6c + -81 = 7c + 102 + 65c Reorder the terms: -81 + 5c + 6c = 7c + 102 + 65c Combine like terms: 5c + 6c = 11c -81 + 11c = 7c + 102 + 65c Reorder the terms: -81 + 11c = 102 + 7c + 65c Combine like terms: 7c + 65c = 72c -81 + 11c = 102 + 72c Solving -81 + 11c = 102 + 72c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-72c' to each side of the equation. -81 + 11c + -72c = 102 + 72c + -72c Combine like terms: 11c + -72c = -61c -81 + -61c = 102 + 72c + -72c Combine like terms: 72c + -72c = 0 -81 + -61c = 102 + 0 -81 + -61c = 102 Add '81' to each side of the equation. -81 + 81 + -61c = 102 + 81 Combine like terms: -81 + 81 = 0 0 + -61c = 102 + 81 -61c = 102 + 81 Combine like terms: 102 + 81 = 183 -61c = 183 Divide each side by '-61'. c = -3 Simplifying c = -3
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