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Simplifying -18 + -12k = 6(1 + 2k) -18 + -12k = (1 * 6 + 2k * 6) -18 + -12k = (6 + 12k) Solving -18 + -12k = 6 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -18 + -12k + -12k = 6 + 12k + -12k Combine like terms: -12k + -12k = -24k -18 + -24k = 6 + 12k + -12k Combine like terms: 12k + -12k = 0 -18 + -24k = 6 + 0 -18 + -24k = 6 Add '18' to each side of the equation. -18 + 18 + -24k = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -24k = 6 + 18 -24k = 6 + 18 Combine like terms: 6 + 18 = 24 -24k = 24 Divide each side by '-24'. k = -1 Simplifying k = -1
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