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Simplifying 2(4k + -3) + -13k + 6 + 4 = 0 Reorder the terms: 2(-3 + 4k) + -13k + 6 + 4 = 0 (-3 * 2 + 4k * 2) + -13k + 6 + 4 = 0 (-6 + 8k) + -13k + 6 + 4 = 0 Reorder the terms: -6 + 6 + 4 + 8k + -13k = 0 Combine like terms: -6 + 6 = 0 0 + 4 + 8k + -13k = 0 4 + 8k + -13k = 0 Combine like terms: 8k + -13k = -5k 4 + -5k = 0 Solving 4 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5k = 0 + -4 -5k = 0 + -4 Combine like terms: 0 + -4 = -4 -5k = -4 Divide each side by '-5'. k = 0.8 Simplifying k = 0.8
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