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Simplifying 8k + -4 = 2(k + 10) Reorder the terms: -4 + 8k = 2(k + 10) Reorder the terms: -4 + 8k = 2(10 + k) -4 + 8k = (10 * 2 + k * 2) -4 + 8k = (20 + 2k) Solving -4 + 8k = 20 + 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. -4 + 8k + -2k = 20 + 2k + -2k Combine like terms: 8k + -2k = 6k -4 + 6k = 20 + 2k + -2k Combine like terms: 2k + -2k = 0 -4 + 6k = 20 + 0 -4 + 6k = 20 Add '4' to each side of the equation. -4 + 4 + 6k = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 6k = 20 + 4 6k = 20 + 4 Combine like terms: 20 + 4 = 24 6k = 24 Divide each side by '6'. k = 4 Simplifying k = 4
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