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Simplifying 2k + 3 = 4k + -6 Reorder the terms: 3 + 2k = 4k + -6 Reorder the terms: 3 + 2k = -6 + 4k Solving 3 + 2k = -6 + 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. 3 + 2k + -4k = -6 + 4k + -4k Combine like terms: 2k + -4k = -2k 3 + -2k = -6 + 4k + -4k Combine like terms: 4k + -4k = 0 3 + -2k = -6 + 0 3 + -2k = -6 Add '-3' to each side of the equation. 3 + -3 + -2k = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -2k = -6 + -3 -2k = -6 + -3 Combine like terms: -6 + -3 = -9 -2k = -9 Divide each side by '-2'. k = 4.5 Simplifying k = 4.5
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