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Simplifying -4(1.6 + -0.3k) = -14.4 + -10.8k (1.6 * -4 + -0.3k * -4) = -14.4 + -10.8k (-6.4 + 1.2k) = -14.4 + -10.8k Solving -6.4 + 1.2k = -14.4 + -10.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10.8k' to each side of the equation. -6.4 + 1.2k + 10.8k = -14.4 + -10.8k + 10.8k Combine like terms: 1.2k + 10.8k = 12k -6.4 + 12k = -14.4 + -10.8k + 10.8k Combine like terms: -10.8k + 10.8k = 0.0 -6.4 + 12k = -14.4 + 0.0 -6.4 + 12k = -14.4 Add '6.4' to each side of the equation. -6.4 + 6.4 + 12k = -14.4 + 6.4 Combine like terms: -6.4 + 6.4 = 0.0 0.0 + 12k = -14.4 + 6.4 12k = -14.4 + 6.4 Combine like terms: -14.4 + 6.4 = -8 12k = -8 Divide each side by '12'. k = -0.6666666667 Simplifying k = -0.6666666667
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