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Simplifying 18 + -4k = 2(k + 21) Reorder the terms: 18 + -4k = 2(21 + k) 18 + -4k = (21 * 2 + k * 2) 18 + -4k = (42 + 2k) Solving 18 + -4k = 42 + 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. 18 + -4k + -2k = 42 + 2k + -2k Combine like terms: -4k + -2k = -6k 18 + -6k = 42 + 2k + -2k Combine like terms: 2k + -2k = 0 18 + -6k = 42 + 0 18 + -6k = 42 Add '-18' to each side of the equation. 18 + -18 + -6k = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -6k = 42 + -18 -6k = 42 + -18 Combine like terms: 42 + -18 = 24 -6k = 24 Divide each side by '-6'. k = -4 Simplifying k = -4
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