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Simplifying 6(4l + 7k) + -16l + 14 = 0 Reorder the terms: 6(7k + 4l) + -16l + 14 = 0 (7k * 6 + 4l * 6) + -16l + 14 = 0 (42k + 24l) + -16l + 14 = 0 Reorder the terms: 14 + 42k + 24l + -16l = 0 Combine like terms: 24l + -16l = 8l 14 + 42k + 8l = 0 Solving 14 + 42k + 8l = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 42k + -14 + 8l = 0 + -14 Reorder the terms: 14 + -14 + 42k + 8l = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 42k + 8l = 0 + -14 42k + 8l = 0 + -14 Combine like terms: 0 + -14 = -14 42k + 8l = -14 Add '-8l' to each side of the equation. 42k + 8l + -8l = -14 + -8l Combine like terms: 8l + -8l = 0 42k + 0 = -14 + -8l 42k = -14 + -8l Divide each side by '42'. k = -0.3333333333 + -0.1904761905l Simplifying k = -0.3333333333 + -0.1904761905l
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