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Simplifying -1(k + -10.9) = 1.4k + -1.1 Reorder the terms: -1(-10.9 + k) = 1.4k + -1.1 (-10.9 * -1 + k * -1) = 1.4k + -1.1 (10.9 + -1k) = 1.4k + -1.1 Reorder the terms: 10.9 + -1k = -1.1 + 1.4k Solving 10.9 + -1k = -1.1 + 1.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.4k' to each side of the equation. 10.9 + -1k + -1.4k = -1.1 + 1.4k + -1.4k Combine like terms: -1k + -1.4k = -2.4k 10.9 + -2.4k = -1.1 + 1.4k + -1.4k Combine like terms: 1.4k + -1.4k = 0.0 10.9 + -2.4k = -1.1 + 0.0 10.9 + -2.4k = -1.1 Add '-10.9' to each side of the equation. 10.9 + -10.9 + -2.4k = -1.1 + -10.9 Combine like terms: 10.9 + -10.9 = 0.0 0.0 + -2.4k = -1.1 + -10.9 -2.4k = -1.1 + -10.9 Combine like terms: -1.1 + -10.9 = -12 -2.4k = -12 Divide each side by '-2.4'. k = 5 Simplifying k = 5
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