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Simplifying 2(5 + -3c) + 9v = 28 (5 * 2 + -3c * 2) + 9v = 28 (10 + -6c) + 9v = 28 Solving 10 + -6c + 9v = 28 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -6c + -10 + 9v = 28 + -10 Reorder the terms: 10 + -10 + -6c + 9v = 28 + -10 Combine like terms: 10 + -10 = 0 0 + -6c + 9v = 28 + -10 -6c + 9v = 28 + -10 Combine like terms: 28 + -10 = 18 -6c + 9v = 18 Add '-9v' to each side of the equation. -6c + 9v + -9v = 18 + -9v Combine like terms: 9v + -9v = 0 -6c + 0 = 18 + -9v -6c = 18 + -9v Divide each side by '-6'. c = -3 + 1.5v Simplifying c = -3 + 1.5v
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