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Simplifying -3k + -5(6 + -1k) = 4(1 + -2k) + 6 -3k + (6 * -5 + -1k * -5) = 4(1 + -2k) + 6 -3k + (-30 + 5k) = 4(1 + -2k) + 6 Reorder the terms: -30 + -3k + 5k = 4(1 + -2k) + 6 Combine like terms: -3k + 5k = 2k -30 + 2k = 4(1 + -2k) + 6 -30 + 2k = (1 * 4 + -2k * 4) + 6 -30 + 2k = (4 + -8k) + 6 Reorder the terms: -30 + 2k = 4 + 6 + -8k Combine like terms: 4 + 6 = 10 -30 + 2k = 10 + -8k Solving -30 + 2k = 10 + -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. -30 + 2k + 8k = 10 + -8k + 8k Combine like terms: 2k + 8k = 10k -30 + 10k = 10 + -8k + 8k Combine like terms: -8k + 8k = 0 -30 + 10k = 10 + 0 -30 + 10k = 10 Add '30' to each side of the equation. -30 + 30 + 10k = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 10k = 10 + 30 10k = 10 + 30 Combine like terms: 10 + 30 = 40 10k = 40 Divide each side by '10'. k = 4 Simplifying k = 4
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