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Simplifying -0.5k + -0.8 = 1.6 + 0.27k + 0.5 Reorder the terms: -0.8 + -0.5k = 1.6 + 0.27k + 0.5 Reorder the terms: -0.8 + -0.5k = 1.6 + 0.5 + 0.27k Combine like terms: 1.6 + 0.5 = 2.1 -0.8 + -0.5k = 2.1 + 0.27k Solving -0.8 + -0.5k = 2.1 + 0.27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.27k' to each side of the equation. -0.8 + -0.5k + -0.27k = 2.1 + 0.27k + -0.27k Combine like terms: -0.5k + -0.27k = -0.77k -0.8 + -0.77k = 2.1 + 0.27k + -0.27k Combine like terms: 0.27k + -0.27k = 0.00 -0.8 + -0.77k = 2.1 + 0.00 -0.8 + -0.77k = 2.1 Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.77k = 2.1 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.77k = 2.1 + 0.8 -0.77k = 2.1 + 0.8 Combine like terms: 2.1 + 0.8 = 2.9 -0.77k = 2.9 Divide each side by '-0.77'. k = -3.766233766 Simplifying k = -3.766233766
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