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Simplifying 8k + 12 = 2(k + -3) Reorder the terms: 12 + 8k = 2(k + -3) Reorder the terms: 12 + 8k = 2(-3 + k) 12 + 8k = (-3 * 2 + k * 2) 12 + 8k = (-6 + 2k) Solving 12 + 8k = -6 + 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. 12 + 8k + -2k = -6 + 2k + -2k Combine like terms: 8k + -2k = 6k 12 + 6k = -6 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + 6k = -6 + 0 12 + 6k = -6 Add '-12' to each side of the equation. 12 + -12 + 6k = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 6k = -6 + -12 6k = -6 + -12 Combine like terms: -6 + -12 = -18 6k = -18 Divide each side by '6'. k = -3 Simplifying k = -3
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