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Simplifying -4k + 2(6 + -4.5k) = 36 -4k + (6 * 2 + -4.5k * 2) = 36 -4k + (12 + -9k) = 36 Reorder the terms: 12 + -4k + -9k = 36 Combine like terms: -4k + -9k = -13k 12 + -13k = 36 Solving 12 + -13k = 36 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -13k = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -13k = 36 + -12 -13k = 36 + -12 Combine like terms: 36 + -12 = 24 -13k = 24 Divide each side by '-13'. k = -1.846153846 Simplifying k = -1.846153846
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