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Simplifying -8 = 0.4(k + -2) Reorder the terms: -8 = 0.4(-2 + k) -8 = (-2 * 0.4 + k * 0.4) -8 = (-0.8 + 0.4k) Solving -8 = -0.8 + 0.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.4k' to each side of the equation. -8 + -0.4k = -0.8 + 0.4k + -0.4k Combine like terms: 0.4k + -0.4k = 0.0 -8 + -0.4k = -0.8 + 0.0 -8 + -0.4k = -0.8 Add '8' to each side of the equation. -8 + 8 + -0.4k = -0.8 + 8 Combine like terms: -8 + 8 = 0 0 + -0.4k = -0.8 + 8 -0.4k = -0.8 + 8 Combine like terms: -0.8 + 8 = 7.2 -0.4k = 7.2 Divide each side by '-0.4'. k = -18 Simplifying k = -18
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