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Simplifying -18 = 2(2k + 5) Reorder the terms: -18 = 2(5 + 2k) -18 = (5 * 2 + 2k * 2) -18 = (10 + 4k) Solving -18 = 10 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -18 + -4k = 10 + 4k + -4k Combine like terms: 4k + -4k = 0 -18 + -4k = 10 + 0 -18 + -4k = 10 Add '18' to each side of the equation. -18 + 18 + -4k = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -4k = 10 + 18 -4k = 10 + 18 Combine like terms: 10 + 18 = 28 -4k = 28 Divide each side by '-4'. k = -7 Simplifying k = -7
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