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Simplifying -4k + 2(5k + -6) = -3k + -29 Reorder the terms: -4k + 2(-6 + 5k) = -3k + -29 -4k + (-6 * 2 + 5k * 2) = -3k + -29 -4k + (-12 + 10k) = -3k + -29 Reorder the terms: -12 + -4k + 10k = -3k + -29 Combine like terms: -4k + 10k = 6k -12 + 6k = -3k + -29 Reorder the terms: -12 + 6k = -29 + -3k Solving -12 + 6k = -29 + -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 = -29 + -3k + 3k Combine like terms: 6k + 3k = 9k -12 + 9k = -29 + -3k + 3k Combine like terms: -3k + 3k = 0 -12 + 9k = -29 + 0 -12 + 9k = -29 Add '12' to each side of the equation. -12 + 12 + 9k = -29 + 12 Combine like terms: -12 + 12 = 0 0 + 9k = -29 + 12 9k = -29 + 12 Combine like terms: -29 + 12 = -17 9k = -17 Divide each side by '9'. k = -1.888888889 Simplifying k = -1.888888889
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