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Simplifying -3.8(k + -2.7) = -1.4972 Reorder the terms: -3.8(-2.7 + k) = -1.4972 (-2.7 * -3.8 + k * -3.8) = -1.4972 (10.26 + -3.8k) = -1.4972 Solving 10.26 + -3.8k = -1.4972 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10.26' to each side of the equation. 10.26 + -10.26 + -3.8k = -1.4972 + -10.26 Combine like terms: 10.26 + -10.26 = 0.00 0.00 + -3.8k = -1.4972 + -10.26 -3.8k = -1.4972 + -10.26 Combine like terms: -1.4972 + -10.26 = -11.7572 -3.8k = -11.7572 Divide each side by '-3.8'. k = 3.094 Simplifying k = 3.094
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