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Simplifying 7 + -1(5 + 8k) = 2k + -18 7 + (5 * -1 + 8k * -1) = 2k + -18 7 + (-5 + -8k) = 2k + -18 Combine like terms: 7 + -5 = 2 2 + -8k = 2k + -18 Reorder the terms: 2 + -8k = -18 + 2k Solving 2 + -8k = -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. 2 + -8k + -2k = -18 + 2k + -2k Combine like terms: -8k + -2k = -10k 2 + -10k = -18 + 2k + -2k Combine like terms: 2k + -2k = 0 2 + -10k = -18 + 0 2 + -10k = -18 Add '-2' to each side of the equation. 2 + -2 + -10k = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -10k = -18 + -2 -10k = -18 + -2 Combine like terms: -18 + -2 = -20 -10k = -20 Divide each side by '-10'. k = 2 Simplifying k = 2
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