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Simplifying 6k + -3(4 + -5k) = 9 6k + (4 * -3 + -5k * -3) = 9 6k + (-12 + 15k) = 9 Reorder the terms: -12 + 6k + 15k = 9 Combine like terms: 6k + 15k = 21k -12 + 21k = 9 Solving -12 + 21k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 21k = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 21k = 9 + 12 21k = 9 + 12 Combine like terms: 9 + 12 = 21 21k = 21 Divide each side by '21'. k = 1 Simplifying k = 1
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