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Simplifying 2(k + -2.6) = -9.6(k + -4.8) Reorder the terms: 2(-2.6 + k) = -9.6(k + -4.8) (-2.6 * 2 + k * 2) = -9.6(k + -4.8) (-5.2 + 2k) = -9.6(k + -4.8) Reorder the terms: -5.2 + 2k = -9.6(-4.8 + k) -5.2 + 2k = (-4.8 * -9.6 + k * -9.6) -5.2 + 2k = (46.08 + -9.6k) Solving -5.2 + 2k = 46.08 + -9.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9.6k' to each side of the equation. -5.2 + 2k + 9.6k = 46.08 + -9.6k + 9.6k Combine like terms: 2k + 9.6k = 11.6k -5.2 + 11.6k = 46.08 + -9.6k + 9.6k Combine like terms: -9.6k + 9.6k = 0.0 -5.2 + 11.6k = 46.08 + 0.0 -5.2 + 11.6k = 46.08 Add '5.2' to each side of the equation. -5.2 + 5.2 + 11.6k = 46.08 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 11.6k = 46.08 + 5.2 11.6k = 46.08 + 5.2 Combine like terms: 46.08 + 5.2 = 51.28 11.6k = 51.28 Divide each side by '11.6'. k = 4.420689655 Simplifying k = 4.420689655
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