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Simplifying -2 + 2k = 6(k + 3) Reorder the terms: -2 + 2k = 6(3 + k) -2 + 2k = (3 * 6 + k * 6) -2 + 2k = (18 + 6k) Solving -2 + 2k = 18 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -2 + 2k + -6k = 18 + 6k + -6k Combine like terms: 2k + -6k = -4k -2 + -4k = 18 + 6k + -6k Combine like terms: 6k + -6k = 0 -2 + -4k = 18 + 0 -2 + -4k = 18 Add '2' to each side of the equation. -2 + 2 + -4k = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -4k = 18 + 2 -4k = 18 + 2 Combine like terms: 18 + 2 = 20 -4k = 20 Divide each side by '-4'. k = -5 Simplifying k = -5
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