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Simplifying 5(3c + v) + 2(4c + -3v) = 0 (3c * 5 + v * 5) + 2(4c + -3v) = 0 (15c + 5v) + 2(4c + -3v) = 0 15c + 5v + (4c * 2 + -3v * 2) = 0 15c + 5v + (8c + -6v) = 0 Reorder the terms: 15c + 8c + 5v + -6v = 0 Combine like terms: 15c + 8c = 23c 23c + 5v + -6v = 0 Combine like terms: 5v + -6v = -1v 23c + -1v = 0 Solving 23c + -1v = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'v' to each side of the equation. 23c + -1v + v = 0 + v Combine like terms: -1v + v = 0 23c + 0 = 0 + v 23c = 0 + v Remove the zero: 23c = v Divide each side by '23'. c = 0.04347826087v Simplifying c = 0.04347826087v
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