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Simplifying 34 + -4k = -6(2k + -7) Reorder the terms: 34 + -4k = -6(-7 + 2k) 34 + -4k = (-7 * -6 + 2k * -6) 34 + -4k = (42 + -12k) Solving 34 + -4k = 42 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 34 + -4k + 12k = 42 + -12k + 12k Combine like terms: -4k + 12k = 8k 34 + 8k = 42 + -12k + 12k Combine like terms: -12k + 12k = 0 34 + 8k = 42 + 0 34 + 8k = 42 Add '-34' to each side of the equation. 34 + -34 + 8k = 42 + -34 Combine like terms: 34 + -34 = 0 0 + 8k = 42 + -34 8k = 42 + -34 Combine like terms: 42 + -34 = 8 8k = 8 Divide each side by '8'. k = 1 Simplifying k = 1
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