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Simplifying 18u + -6(9k + -7 + -10u) + -4k = 0 Reorder the terms: 18u + -6(-7 + 9k + -10u) + -4k = 0 18u + (-7 * -6 + 9k * -6 + -10u * -6) + -4k = 0 18u + (42 + -54k + 60u) + -4k = 0 Reorder the terms: 42 + -54k + -4k + 18u + 60u = 0 Combine like terms: -54k + -4k = -58k 42 + -58k + 18u + 60u = 0 Combine like terms: 18u + 60u = 78u 42 + -58k + 78u = 0 Solving 42 + -58k + 78u = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -58k + -42 + 78u = 0 + -42 Reorder the terms: 42 + -42 + -58k + 78u = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -58k + 78u = 0 + -42 -58k + 78u = 0 + -42 Combine like terms: 0 + -42 = -42 -58k + 78u = -42 Add '-78u' to each side of the equation. -58k + 78u + -78u = -42 + -78u Combine like terms: 78u + -78u = 0 -58k + 0 = -42 + -78u -58k = -42 + -78u Divide each side by '-58'. k = 0.724137931 + 1.344827586u Simplifying k = 0.724137931 + 1.344827586u
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