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Simplifying 2.02(k + -5) + -2.4 = -0.38 Reorder the terms: 2.02(-5 + k) + -2.4 = -0.38 (-5 * 2.02 + k * 2.02) + -2.4 = -0.38 (-10.1 + 2.02k) + -2.4 = -0.38 Reorder the terms: -10.1 + -2.4 + 2.02k = -0.38 Combine like terms: -10.1 + -2.4 = -12.5 -12.5 + 2.02k = -0.38 Solving -12.5 + 2.02k = -0.38 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + 2.02k = -0.38 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + 2.02k = -0.38 + 12.5 2.02k = -0.38 + 12.5 Combine like terms: -0.38 + 12.5 = 12.12 2.02k = 12.12 Divide each side by '2.02'. k = 6 Simplifying k = 6
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