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Simplifying 0.5k + 2 = 5 + 0.84k Reorder the terms: 2 + 0.5k = 5 + 0.84k Solving 2 + 0.5k = 5 + 0.84k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.84k' to each side of the equation. 2 + 0.5k + -0.84k = 5 + 0.84k + -0.84k Combine like terms: 0.5k + -0.84k = -0.34k 2 + -0.34k = 5 + 0.84k + -0.84k Combine like terms: 0.84k + -0.84k = 0.00 2 + -0.34k = 5 + 0.00 2 + -0.34k = 5 Add '-2' to each side of the equation. 2 + -2 + -0.34k = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -0.34k = 5 + -2 -0.34k = 5 + -2 Combine like terms: 5 + -2 = 3 -0.34k = 3 Divide each side by '-0.34'. k = -8.823529412 Simplifying k = -8.823529412
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