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Simplifying 5(2r + c + 3k) = 0 Reorder the terms: 5(c + 3k + 2r) = 0 (c * 5 + 3k * 5 + 2r * 5) = 0 (5c + 15k + 10r) = 0 Solving 5c + 15k + 10r = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15k' to each side of the equation. 5c + 15k + -15k + 10r = 0 + -15k Combine like terms: 15k + -15k = 0 5c + 0 + 10r = 0 + -15k 5c + 10r = 0 + -15k Remove the zero: 5c + 10r = -15k Add '-10r' to each side of the equation. 5c + 10r + -10r = -15k + -10r Combine like terms: 10r + -10r = 0 5c + 0 = -15k + -10r 5c = -15k + -10r Divide each side by '5'. c = -3k + -2r Simplifying c = -3k + -2r
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