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Simplifying 2(3k + -6) + 4 + 5k = 0 Reorder the terms: 2(-6 + 3k) + 4 + 5k = 0 (-6 * 2 + 3k * 2) + 4 + 5k = 0 (-12 + 6k) + 4 + 5k = 0 Reorder the terms: -12 + 4 + 6k + 5k = 0 Combine like terms: -12 + 4 = -8 -8 + 6k + 5k = 0 Combine like terms: 6k + 5k = 11k -8 + 11k = 0 Solving -8 + 11k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 11k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 11k = 0 + 8 11k = 0 + 8 Combine like terms: 0 + 8 = 8 11k = 8 Divide each side by '11'. k = 0.7272727273 Simplifying k = 0.7272727273
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