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Simplifying 0.14k + -2 = 0.42k + 4 Reorder the terms: -2 + 0.14k = 0.42k + 4 Reorder the terms: -2 + 0.14k = 4 + 0.42k Solving -2 + 0.14k = 4 + 0.42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.42k' to each side of the equation. -2 + 0.14k + -0.42k = 4 + 0.42k + -0.42k Combine like terms: 0.14k + -0.42k = -0.28k -2 + -0.28k = 4 + 0.42k + -0.42k Combine like terms: 0.42k + -0.42k = 0.00 -2 + -0.28k = 4 + 0.00 -2 + -0.28k = 4 Add '2' to each side of the equation. -2 + 2 + -0.28k = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -0.28k = 4 + 2 -0.28k = 4 + 2 Combine like terms: 4 + 2 = 6 -0.28k = 6 Divide each side by '-0.28'. k = -21.42857143 Simplifying k = -21.42857143
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