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Simplifying -4(3.2 + -3k) + 0.2(9 + 15k) = 0 (3.2 * -4 + -3k * -4) + 0.2(9 + 15k) = 0 (-12.8 + 12k) + 0.2(9 + 15k) = 0 -12.8 + 12k + (9 * 0.2 + 15k * 0.2) = 0 -12.8 + 12k + (1.8 + 3k) = 0 Reorder the terms: -12.8 + 1.8 + 12k + 3k = 0 Combine like terms: -12.8 + 1.8 = -11 -11 + 12k + 3k = 0 Combine like terms: 12k + 3k = 15k -11 + 15k = 0 Solving -11 + 15k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 15k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 15k = 0 + 11 15k = 0 + 11 Combine like terms: 0 + 11 = 11 15k = 11 Divide each side by '15'. k = 0.7333333333 Simplifying k = 0.7333333333
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