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Simplifying 4k + -7 = 2k + 9 Reorder the terms: -7 + 4k = 2k + 9 Reorder the terms: -7 + 4k = 9 + 2k Solving -7 + 4k = 9 + 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. -7 + 4k + -2k = 9 + 2k + -2k Combine like terms: 4k + -2k = 2k -7 + 2k = 9 + 2k + -2k Combine like terms: 2k + -2k = 0 -7 + 2k = 9 + 0 -7 + 2k = 9 Add '7' to each side of the equation. -7 + 7 + 2k = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 2k = 9 + 7 2k = 9 + 7 Combine like terms: 9 + 7 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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