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Simplifying -3k + -0.28 = -5.9k + -4.6 + 2.6k Reorder the terms: -0.28 + -3k = -5.9k + -4.6 + 2.6k Reorder the terms: -0.28 + -3k = -4.6 + -5.9k + 2.6k Combine like terms: -5.9k + 2.6k = -3.3k -0.28 + -3k = -4.6 + -3.3k Solving -0.28 + -3k = -4.6 + -3.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3.3k' to each side of the equation. -0.28 + -3k + 3.3k = -4.6 + -3.3k + 3.3k Combine like terms: -3k + 3.3k = 0.3k -0.28 + 0.3k = -4.6 + -3.3k + 3.3k Combine like terms: -3.3k + 3.3k = 0.0 -0.28 + 0.3k = -4.6 + 0.0 -0.28 + 0.3k = -4.6 Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.3k = -4.6 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.3k = -4.6 + 0.28 0.3k = -4.6 + 0.28 Combine like terms: -4.6 + 0.28 = -4.32 0.3k = -4.32 Divide each side by '0.3'. k = -14.4 Simplifying k = -14.4
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