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Simplifying 6(k + -3) = 8k + -6 Reorder the terms: 6(-3 + k) = 8k + -6 (-3 * 6 + k * 6) = 8k + -6 (-18 + 6k) = 8k + -6 Reorder the terms: -18 + 6k = -6 + 8k Solving -18 + 6k = -6 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -18 + 6k + -8k = -6 + 8k + -8k Combine like terms: 6k + -8k = -2k -18 + -2k = -6 + 8k + -8k Combine like terms: 8k + -8k = 0 -18 + -2k = -6 + 0 -18 + -2k = -6 Add '18' to each side of the equation. -18 + 18 + -2k = -6 + 18 Combine like terms: -18 + 18 = 0 0 + -2k = -6 + 18 -2k = -6 + 18 Combine like terms: -6 + 18 = 12 -2k = 12 Divide each side by '-2'. k = -6 Simplifying k = -6
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