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Simplifying 2k + -6 = 4k + 5 Reorder the terms: -6 + 2k = 4k + 5 Reorder the terms: -6 + 2k = 5 + 4k Solving -6 + 2k = 5 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -6 + 2k + -4k = 5 + 4k + -4k Combine like terms: 2k + -4k = -2k -6 + -2k = 5 + 4k + -4k Combine like terms: 4k + -4k = 0 -6 + -2k = 5 + 0 -6 + -2k = 5 Add '6' to each side of the equation. -6 + 6 + -2k = 5 + 6 Combine like terms: -6 + 6 = 0 0 + -2k = 5 + 6 -2k = 5 + 6 Combine like terms: 5 + 6 = 11 -2k = 11 Divide each side by '-2'. k = -5.5 Simplifying k = -5.5
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