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Simplifying -4k + 2(5k + -6) = 3k + -34 Reorder the terms: -4k + 2(-6 + 5k) = 3k + -34 -4k + (-6 * 2 + 5k * 2) = 3k + -34 -4k + (-12 + 10k) = 3k + -34 Reorder the terms: -12 + -4k + 10k = 3k + -34 Combine like terms: -4k + 10k = 6k -12 + 6k = 3k + -34 Reorder the terms: -12 + 6k = -34 + 3k Solving -12 + 6k = -34 + 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 = -34 + 3k + -3k Combine like terms: 6k + -3k = 3k -12 + 3k = -34 + 3k + -3k Combine like terms: 3k + -3k = 0 -12 + 3k = -34 + 0 -12 + 3k = -34 Add '12' to each side of the equation. -12 + 12 + 3k = -34 + 12 Combine like terms: -12 + 12 = 0 0 + 3k = -34 + 12 3k = -34 + 12 Combine like terms: -34 + 12 = -22 3k = -22 Divide each side by '3'. k = -7.333333333 Simplifying k = -7.333333333
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