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Simplifying 4k + 2(5k + -6) = 3k + -12 Reorder the terms: 4k + 2(-6 + 5k) = 3k + -12 4k + (-6 * 2 + 5k * 2) = 3k + -12 4k + (-12 + 10k) = 3k + -12 Reorder the terms: -12 + 4k + 10k = 3k + -12 Combine like terms: 4k + 10k = 14k -12 + 14k = 3k + -12 Reorder the terms: -12 + 14k = -12 + 3k Add '12' to each side of the equation. -12 + 12 + 14k = -12 + 12 + 3k Combine like terms: -12 + 12 = 0 0 + 14k = -12 + 12 + 3k 14k = -12 + 12 + 3k Combine like terms: -12 + 12 = 0 14k = 0 + 3k 14k = 3k Solving 14k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 14k + -3k = 3k + -3k Combine like terms: 14k + -3k = 11k 11k = 3k + -3k Combine like terms: 3k + -3k = 0 11k = 0 Divide each side by '11'. k = 0 Simplifying k = 0
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