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Simplifying 0.1(k + -5) + -4 = -2.47 Reorder the terms: 0.1(-5 + k) + -4 = -2.47 (-5 * 0.1 + k * 0.1) + -4 = -2.47 (-0.5 + 0.1k) + -4 = -2.47 Reorder the terms: -0.5 + -4 + 0.1k = -2.47 Combine like terms: -0.5 + -4 = -4.5 -4.5 + 0.1k = -2.47 Solving -4.5 + 0.1k = -2.47 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + 0.1k = -2.47 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 0.1k = -2.47 + 4.5 0.1k = -2.47 + 4.5 Combine like terms: -2.47 + 4.5 = 2.03 0.1k = 2.03 Divide each side by '0.1'. k = 20.3 Simplifying k = 20.3
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