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Simplifying 6(c + 5) + -5v + 12 = 0 Reorder the terms: 6(5 + c) + -5v + 12 = 0 (5 * 6 + c * 6) + -5v + 12 = 0 (30 + 6c) + -5v + 12 = 0 Reorder the terms: 30 + 12 + 6c + -5v = 0 Combine like terms: 30 + 12 = 42 42 + 6c + -5v = 0 Solving 42 + 6c + -5v = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 6c + -42 + -5v = 0 + -42 Reorder the terms: 42 + -42 + 6c + -5v = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 6c + -5v = 0 + -42 6c + -5v = 0 + -42 Combine like terms: 0 + -42 = -42 6c + -5v = -42 Add '5v' to each side of the equation. 6c + -5v + 5v = -42 + 5v Combine like terms: -5v + 5v = 0 6c + 0 = -42 + 5v 6c = -42 + 5v Divide each side by '6'. c = -7 + 0.8333333333v Simplifying c = -7 + 0.8333333333v
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