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Simplifying 8.3 = 3(c + 5.3) Reorder the terms: 8.3 = 3(5.3 + c) 8.3 = (5.3 * 3 + c * 3) 8.3 = (15.9 + 3c) Solving 8.3 = 15.9 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 8.3 + -3c = 15.9 + 3c + -3c Combine like terms: 3c + -3c = 0 8.3 + -3c = 15.9 + 0 8.3 + -3c = 15.9 Add '-8.3' to each side of the equation. 8.3 + -8.3 + -3c = 15.9 + -8.3 Combine like terms: 8.3 + -8.3 = 0.0 0.0 + -3c = 15.9 + -8.3 -3c = 15.9 + -8.3 Combine like terms: 15.9 + -8.3 = 7.6 -3c = 7.6 Divide each side by '-3'. c = -2.533333333 Simplifying c = -2.533333333
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