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Simplifying -3(2k + 1 + 10c) = 0 Reorder the terms: -3(1 + 10c + 2k) = 0 (1 * -3 + 10c * -3 + 2k * -3) = 0 (-3 + -30c + -6k) = 0 Solving -3 + -30c + -6k = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -30c + 3 + -6k = 0 + 3 Reorder the terms: -3 + 3 + -30c + -6k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -30c + -6k = 0 + 3 -30c + -6k = 0 + 3 Combine like terms: 0 + 3 = 3 -30c + -6k = 3 Add '6k' to each side of the equation. -30c + -6k + 6k = 3 + 6k Combine like terms: -6k + 6k = 0 -30c + 0 = 3 + 6k -30c = 3 + 6k Divide each side by '-30'. c = -0.1 + -0.2k Simplifying c = -0.1 + -0.2k
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