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Simplifying 2(4k + 1) + -10 = -10 + 6k Reorder the terms: 2(1 + 4k) + -10 = -10 + 6k (1 * 2 + 4k * 2) + -10 = -10 + 6k (2 + 8k) + -10 = -10 + 6k Reorder the terms: 2 + -10 + 8k = -10 + 6k Combine like terms: 2 + -10 = -8 -8 + 8k = -10 + 6k Solving -8 + 8k = -10 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -8 + 8k + -6k = -10 + 6k + -6k Combine like terms: 8k + -6k = 2k -8 + 2k = -10 + 6k + -6k Combine like terms: 6k + -6k = 0 -8 + 2k = -10 + 0 -8 + 2k = -10 Add '8' to each side of the equation. -8 + 8 + 2k = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 2k = -10 + 8 2k = -10 + 8 Combine like terms: -10 + 8 = -2 2k = -2 Divide each side by '2'. k = -1 Simplifying k = -1
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