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Simplifying 36 + -4k + 2 = 6(-9k + -13) Reorder the terms: 36 + 2 + -4k = 6(-9k + -13) Combine like terms: 36 + 2 = 38 38 + -4k = 6(-9k + -13) Reorder the terms: 38 + -4k = 6(-13 + -9k) 38 + -4k = (-13 * 6 + -9k * 6) 38 + -4k = (-78 + -54k) Solving 38 + -4k = -78 + -54k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '54k' to each side of the equation. 38 + -4k + 54k = -78 + -54k + 54k Combine like terms: -4k + 54k = 50k 38 + 50k = -78 + -54k + 54k Combine like terms: -54k + 54k = 0 38 + 50k = -78 + 0 38 + 50k = -78 Add '-38' to each side of the equation. 38 + -38 + 50k = -78 + -38 Combine like terms: 38 + -38 = 0 0 + 50k = -78 + -38 50k = -78 + -38 Combine like terms: -78 + -38 = -116 50k = -116 Divide each side by '50'. k = -2.32 Simplifying k = -2.32
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