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Simplifying 15c + 30 = 0.3(102 + -12c) Reorder the terms: 30 + 15c = 0.3(102 + -12c) 30 + 15c = (102 * 0.3 + -12c * 0.3) 30 + 15c = (30.6 + -3.6c) Solving 30 + 15c = 30.6 + -3.6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3.6c' to each side of the equation. 30 + 15c + 3.6c = 30.6 + -3.6c + 3.6c Combine like terms: 15c + 3.6c = 18.6c 30 + 18.6c = 30.6 + -3.6c + 3.6c Combine like terms: -3.6c + 3.6c = 0.0 30 + 18.6c = 30.6 + 0.0 30 + 18.6c = 30.6 Add '-30' to each side of the equation. 30 + -30 + 18.6c = 30.6 + -30 Combine like terms: 30 + -30 = 0 0 + 18.6c = 30.6 + -30 18.6c = 30.6 + -30 Combine like terms: 30.6 + -30 = 0.6 18.6c = 0.6 Divide each side by '18.6'. c = 0.03225806452 Simplifying c = 0.03225806452
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