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Simplifying -3.2k + 6.389 = -2.6(0.3k + 1.545) Reorder the terms: 6.389 + -3.2k = -2.6(0.3k + 1.545) Reorder the terms: 6.389 + -3.2k = -2.6(1.545 + 0.3k) 6.389 + -3.2k = (1.545 * -2.6 + 0.3k * -2.6) 6.389 + -3.2k = (-4.017 + -0.78k) Solving 6.389 + -3.2k = -4.017 + -0.78k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.78k' to each side of the equation. 6.389 + -3.2k + 0.78k = -4.017 + -0.78k + 0.78k Combine like terms: -3.2k + 0.78k = -2.42k 6.389 + -2.42k = -4.017 + -0.78k + 0.78k Combine like terms: -0.78k + 0.78k = 0.00 6.389 + -2.42k = -4.017 + 0.00 6.389 + -2.42k = -4.017 Add '-6.389' to each side of the equation. 6.389 + -6.389 + -2.42k = -4.017 + -6.389 Combine like terms: 6.389 + -6.389 = 0.000 0.000 + -2.42k = -4.017 + -6.389 -2.42k = -4.017 + -6.389 Combine like terms: -4.017 + -6.389 = -10.406 -2.42k = -10.406 Divide each side by '-2.42'. k = 4.3 Simplifying k = 4.3
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