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Simplifying -16 + -6k = -2(5k + -9) Reorder the terms: -16 + -6k = -2(-9 + 5k) -16 + -6k = (-9 * -2 + 5k * -2) -16 + -6k = (18 + -10k) Solving -16 + -6k = 18 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -16 + -6k + 10k = 18 + -10k + 10k Combine like terms: -6k + 10k = 4k -16 + 4k = 18 + -10k + 10k Combine like terms: -10k + 10k = 0 -16 + 4k = 18 + 0 -16 + 4k = 18 Add '16' to each side of the equation. -16 + 16 + 4k = 18 + 16 Combine like terms: -16 + 16 = 0 0 + 4k = 18 + 16 4k = 18 + 16 Combine like terms: 18 + 16 = 34 4k = 34 Divide each side by '4'. k = 8.5 Simplifying k = 8.5
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