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Simplifying 4k + -6 = 2k + 10 Reorder the terms: -6 + 4k = 2k + 10 Reorder the terms: -6 + 4k = 10 + 2k Solving -6 + 4k = 10 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -6 + 4k + -2k = 10 + 2k + -2k Combine like terms: 4k + -2k = 2k -6 + 2k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 -6 + 2k = 10 + 0 -6 + 2k = 10 Add '6' to each side of the equation. -6 + 6 + 2k = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2k = 10 + 6 2k = 10 + 6 Combine like terms: 10 + 6 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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