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Simplifying 89 = -5(6 + 41c) + 3k 89 = (6 * -5 + 41c * -5) + 3k 89 = (-30 + -205c) + 3k Solving 89 = -30 + -205c + 3k Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '205c' to each side of the equation. 89 + 205c = -30 + -205c + 205c + 3k Combine like terms: -205c + 205c = 0 89 + 205c = -30 + 0 + 3k 89 + 205c = -30 + 3k Add '-89' to each side of the equation. 89 + -89 + 205c = -30 + -89 + 3k Combine like terms: 89 + -89 = 0 0 + 205c = -30 + -89 + 3k 205c = -30 + -89 + 3k Combine like terms: -30 + -89 = -119 205c = -119 + 3k Divide each side by '205'. c = -0.5804878049 + 0.01463414634k Simplifying c = -0.5804878049 + 0.01463414634k
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