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Simplifying 5c + 12 = 8c + 10.29 Reorder the terms: 12 + 5c = 8c + 10.29 Reorder the terms: 12 + 5c = 10.29 + 8c Solving 12 + 5c = 10.29 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 12 + 5c + -8c = 10.29 + 8c + -8c Combine like terms: 5c + -8c = -3c 12 + -3c = 10.29 + 8c + -8c Combine like terms: 8c + -8c = 0 12 + -3c = 10.29 + 0 12 + -3c = 10.29 Add '-12' to each side of the equation. 12 + -12 + -3c = 10.29 + -12 Combine like terms: 12 + -12 = 0 0 + -3c = 10.29 + -12 -3c = 10.29 + -12 Combine like terms: 10.29 + -12 = -1.71 -3c = -1.71 Divide each side by '-3'. c = 0.57 Simplifying c = 0.57
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