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Simplifying 2k + -84 = 6k + 56 Reorder the terms: -84 + 2k = 6k + 56 Reorder the terms: -84 + 2k = 56 + 6k Solving -84 + 2k = 56 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -84 + 2k + -6k = 56 + 6k + -6k Combine like terms: 2k + -6k = -4k -84 + -4k = 56 + 6k + -6k Combine like terms: 6k + -6k = 0 -84 + -4k = 56 + 0 -84 + -4k = 56 Add '84' to each side of the equation. -84 + 84 + -4k = 56 + 84 Combine like terms: -84 + 84 = 0 0 + -4k = 56 + 84 -4k = 56 + 84 Combine like terms: 56 + 84 = 140 -4k = 140 Divide each side by '-4'. k = -35 Simplifying k = -35
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