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Simplifying -4k + 2(5k + -6) = 3k + -3a Reorder the terms: -4k + 2(-6 + 5k) = 3k + -3a -4k + (-6 * 2 + 5k * 2) = 3k + -3a -4k + (-12 + 10k) = 3k + -3a Reorder the terms: -12 + -4k + 10k = 3k + -3a Combine like terms: -4k + 10k = 6k -12 + 6k = 3k + -3a Reorder the terms: -12 + 6k = -3a + 3k Solving -12 + 6k = -3a + 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. -12 + 6k + -3k = -3a + 3k + -3k Combine like terms: 6k + -3k = 3k -12 + 3k = -3a + 3k + -3k Combine like terms: 3k + -3k = 0 -12 + 3k = -3a + 0 -12 + 3k = -3a Add '12' to each side of the equation. -12 + 12 + 3k = 12 + -3a Combine like terms: -12 + 12 = 0 0 + 3k = 12 + -3a 3k = 12 + -3a Divide each side by '3'. k = 4 + -1a Simplifying k = 4 + -1a
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