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Simplifying 4(2k + l) + 2 = 0 (2k * 4 + l * 4) + 2 = 0 (8k + 4l) + 2 = 0 Reorder the terms: 2 + 8k + 4l = 0 Solving 2 + 8k + 4l = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 8k + -2 + 4l = 0 + -2 Reorder the terms: 2 + -2 + 8k + 4l = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8k + 4l = 0 + -2 8k + 4l = 0 + -2 Combine like terms: 0 + -2 = -2 8k + 4l = -2 Add '-4l' to each side of the equation. 8k + 4l + -4l = -2 + -4l Combine like terms: 4l + -4l = 0 8k + 0 = -2 + -4l 8k = -2 + -4l Divide each side by '8'. k = -0.25 + -0.5l Simplifying k = -0.25 + -0.5l
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