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Simplifying (18z + 29c + 46e + 65v) + -1(-37 + -56c + -89e + 56v) = 0 Reorder the terms: (29c + 46e + 65v + 18z) + -1(-37 + -56c + -89e + 56v) = 0 Remove parenthesis around (29c + 46e + 65v + 18z) 29c + 46e + 65v + 18z + -1(-37 + -56c + -89e + 56v) = 0 29c + 46e + 65v + 18z + (-37 * -1 + -56c * -1 + -89e * -1 + 56v * -1) = 0 29c + 46e + 65v + 18z + (37 + 56c + 89e + -56v) = 0 Reorder the terms: 37 + 29c + 56c + 46e + 89e + 65v + -56v + 18z = 0 Combine like terms: 29c + 56c = 85c 37 + 85c + 46e + 89e + 65v + -56v + 18z = 0 Combine like terms: 46e + 89e = 135e 37 + 85c + 135e + 65v + -56v + 18z = 0 Combine like terms: 65v + -56v = 9v 37 + 85c + 135e + 9v + 18z = 0 Solving 37 + 85c + 135e + 9v + 18z = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + 85c + 135e + 9v + -37 + 18z = 0 + -37 Reorder the terms: 37 + -37 + 85c + 135e + 9v + 18z = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 85c + 135e + 9v + 18z = 0 + -37 85c + 135e + 9v + 18z = 0 + -37 Combine like terms: 0 + -37 = -37 85c + 135e + 9v + 18z = -37 Add '-135e' to each side of the equation. 85c + 135e + 9v + -135e + 18z = -37 + -135e Reorder the terms: 85c + 135e + -135e + 9v + 18z = -37 + -135e Combine like terms: 135e + -135e = 0 85c + 0 + 9v + 18z = -37 + -135e 85c + 9v + 18z = -37 + -135e Add '-9v' to each side of the equation. 85c + 9v + -9v + 18z = -37 + -135e + -9v Combine like terms: 9v + -9v = 0 85c + 0 + 18z = -37 + -135e + -9v 85c + 18z = -37 + -135e + -9v Add '-18z' to each side of the equation. 85c + 18z + -18z = -37 + -135e + -9v + -18z Combine like terms: 18z + -18z = 0 85c + 0 = -37 + -135e + -9v + -18z 85c = -37 + -135e + -9v + -18z Divide each side by '85'. c = -0.4352941176 + -1.588235294e + -0.1058823529v + -0.2117647059z Simplifying c = -0.4352941176 + -1.588235294e + -0.1058823529v + -0.2117647059z
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