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Simplifying -36 + 4k = -3k + 2(6k + -8) Reorder the terms: -36 + 4k = -3k + 2(-8 + 6k) -36 + 4k = -3k + (-8 * 2 + 6k * 2) -36 + 4k = -3k + (-16 + 12k) Reorder the terms: -36 + 4k = -16 + -3k + 12k Combine like terms: -3k + 12k = 9k -36 + 4k = -16 + 9k Solving -36 + 4k = -16 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -36 + 4k + -9k = -16 + 9k + -9k Combine like terms: 4k + -9k = -5k -36 + -5k = -16 + 9k + -9k Combine like terms: 9k + -9k = 0 -36 + -5k = -16 + 0 -36 + -5k = -16 Add '36' to each side of the equation. -36 + 36 + -5k = -16 + 36 Combine like terms: -36 + 36 = 0 0 + -5k = -16 + 36 -5k = -16 + 36 Combine like terms: -16 + 36 = 20 -5k = 20 Divide each side by '-5'. k = -4 Simplifying k = -4
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