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Simplifying -5(2k + -1) + 1 = -18 + -2k Reorder the terms: -5(-1 + 2k) + 1 = -18 + -2k (-1 * -5 + 2k * -5) + 1 = -18 + -2k (5 + -10k) + 1 = -18 + -2k Reorder the terms: 5 + 1 + -10k = -18 + -2k Combine like terms: 5 + 1 = 6 6 + -10k = -18 + -2k Solving 6 + -10k = -18 + -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. 6 + -10k + 2k = -18 + -2k + 2k Combine like terms: -10k + 2k = -8k 6 + -8k = -18 + -2k + 2k Combine like terms: -2k + 2k = 0 6 + -8k = -18 + 0 6 + -8k = -18 Add '-6' to each side of the equation. 6 + -6 + -8k = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -8k = -18 + -6 -8k = -18 + -6 Combine like terms: -18 + -6 = -24 -8k = -24 Divide each side by '-8'. k = 3 Simplifying k = 3
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