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Simplifying 1.68k + 28 = 1.62k + 52 Reorder the terms: 28 + 1.68k = 1.62k + 52 Reorder the terms: 28 + 1.68k = 52 + 1.62k Solving 28 + 1.68k = 52 + 1.62k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.62k' to each side of the equation. 28 + 1.68k + -1.62k = 52 + 1.62k + -1.62k Combine like terms: 1.68k + -1.62k = 0.06k 28 + 0.06k = 52 + 1.62k + -1.62k Combine like terms: 1.62k + -1.62k = 0.00 28 + 0.06k = 52 + 0.00 28 + 0.06k = 52 Add '-28' to each side of the equation. 28 + -28 + 0.06k = 52 + -28 Combine like terms: 28 + -28 = 0 0 + 0.06k = 52 + -28 0.06k = 52 + -28 Combine like terms: 52 + -28 = 24 0.06k = 24 Divide each side by '0.06'. k = 400 Simplifying k = 400
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