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Simplifying -9 + -5k = 12 + -1(6k + 8) Reorder the terms: -9 + -5k = 12 + -1(8 + 6k) -9 + -5k = 12 + (8 * -1 + 6k * -1) -9 + -5k = 12 + (-8 + -6k) Combine like terms: 12 + -8 = 4 -9 + -5k = 4 + -6k Solving -9 + -5k = 4 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -9 + -5k + 6k = 4 + -6k + 6k Combine like terms: -5k + 6k = 1k -9 + 1k = 4 + -6k + 6k Combine like terms: -6k + 6k = 0 -9 + 1k = 4 + 0 -9 + 1k = 4 Add '9' to each side of the equation. -9 + 9 + 1k = 4 + 9 Combine like terms: -9 + 9 = 0 0 + 1k = 4 + 9 1k = 4 + 9 Combine like terms: 4 + 9 = 13 1k = 13 Divide each side by '1'. k = 13 Simplifying k = 13
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