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Simplifying 8k + -6 = 2(k + -9) Reorder the terms: -6 + 8k = 2(k + -9) Reorder the terms: -6 + 8k = 2(-9 + k) -6 + 8k = (-9 * 2 + k * 2) -6 + 8k = (-18 + 2k) Solving -6 + 8k = -18 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -6 + 8k + -2k = -18 + 2k + -2k Combine like terms: 8k + -2k = 6k -6 + 6k = -18 + 2k + -2k Combine like terms: 2k + -2k = 0 -6 + 6k = -18 + 0 -6 + 6k = -18 Add '6' to each side of the equation. -6 + 6 + 6k = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 6k = -18 + 6 6k = -18 + 6 Combine like terms: -18 + 6 = -12 6k = -12 Divide each side by '6'. k = -2 Simplifying k = -2
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