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Simplifying 7(5 + 2v) + 3c = 0 (5 * 7 + 2v * 7) + 3c = 0 (35 + 14v) + 3c = 0 Reorder the terms: 35 + 3c + 14v = 0 Solving 35 + 3c + 14v = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 3c + -35 + 14v = 0 + -35 Reorder the terms: 35 + -35 + 3c + 14v = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 3c + 14v = 0 + -35 3c + 14v = 0 + -35 Combine like terms: 0 + -35 = -35 3c + 14v = -35 Add '-14v' to each side of the equation. 3c + 14v + -14v = -35 + -14v Combine like terms: 14v + -14v = 0 3c + 0 = -35 + -14v 3c = -35 + -14v Divide each side by '3'. c = -11.66666667 + -4.666666667v Simplifying c = -11.66666667 + -4.666666667v
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