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Simplifying -2.2(-4 + 6k) = 7.4 + -12.2k (-4 * -2.2 + 6k * -2.2) = 7.4 + -12.2k (8.8 + -13.2k) = 7.4 + -12.2k Solving 8.8 + -13.2k = 7.4 + -12.2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12.2k' to each side of the equation. 8.8 + -13.2k + 12.2k = 7.4 + -12.2k + 12.2k Combine like terms: -13.2k + 12.2k = -1k 8.8 + -1k = 7.4 + -12.2k + 12.2k Combine like terms: -12.2k + 12.2k = 0.0 8.8 + -1k = 7.4 + 0.0 8.8 + -1k = 7.4 Add '-8.8' to each side of the equation. 8.8 + -8.8 + -1k = 7.4 + -8.8 Combine like terms: 8.8 + -8.8 = 0.0 0.0 + -1k = 7.4 + -8.8 -1k = 7.4 + -8.8 Combine like terms: 7.4 + -8.8 = -1.4 -1k = -1.4 Divide each side by '-1'. k = 1.4 Simplifying k = 1.4
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