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Simplifying 12(2k + 11) = -6(2k + 12) Reorder the terms: 12(11 + 2k) = -6(2k + 12) (11 * 12 + 2k * 12) = -6(2k + 12) (132 + 24k) = -6(2k + 12) Reorder the terms: 132 + 24k = -6(12 + 2k) 132 + 24k = (12 * -6 + 2k * -6) 132 + 24k = (-72 + -12k) Solving 132 + 24k = -72 + -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. 132 + 24k + 12k = -72 + -12k + 12k Combine like terms: 24k + 12k = 36k 132 + 36k = -72 + -12k + 12k Combine like terms: -12k + 12k = 0 132 + 36k = -72 + 0 132 + 36k = -72 Add '-132' to each side of the equation. 132 + -132 + 36k = -72 + -132 Combine like terms: 132 + -132 = 0 0 + 36k = -72 + -132 36k = -72 + -132 Combine like terms: -72 + -132 = -204 36k = -204 Divide each side by '36'. k = -5.666666667 Simplifying k = -5.666666667
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