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Simplifying 3k + -5.6 = 3.5k + -7.4 Reorder the terms: -5.6 + 3k = 3.5k + -7.4 Reorder the terms: -5.6 + 3k = -7.4 + 3.5k Solving -5.6 + 3k = -7.4 + 3.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3.5k' to each side of the equation. -5.6 + 3k + -3.5k = -7.4 + 3.5k + -3.5k Combine like terms: 3k + -3.5k = -0.5k -5.6 + -0.5k = -7.4 + 3.5k + -3.5k Combine like terms: 3.5k + -3.5k = 0.0 -5.6 + -0.5k = -7.4 + 0.0 -5.6 + -0.5k = -7.4 Add '5.6' to each side of the equation. -5.6 + 5.6 + -0.5k = -7.4 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + -0.5k = -7.4 + 5.6 -0.5k = -7.4 + 5.6 Combine like terms: -7.4 + 5.6 = -1.8 -0.5k = -1.8 Divide each side by '-0.5'. k = 3.6 Simplifying k = 3.6
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