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Simplifying 12(2k + 11) = 12 + (2k + 12) Reorder the terms: 12(11 + 2k) = 12 + (2k + 12) (11 * 12 + 2k * 12) = 12 + (2k + 12) (132 + 24k) = 12 + (2k + 12) Reorder the terms: 132 + 24k = 12 + (12 + 2k) Remove parenthesis around (12 + 2k) 132 + 24k = 12 + 12 + 2k Combine like terms: 12 + 12 = 24 132 + 24k = 24 + 2k Solving 132 + 24k = 24 + 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. 132 + 24k + -2k = 24 + 2k + -2k Combine like terms: 24k + -2k = 22k 132 + 22k = 24 + 2k + -2k Combine like terms: 2k + -2k = 0 132 + 22k = 24 + 0 132 + 22k = 24 Add '-132' to each side of the equation. 132 + -132 + 22k = 24 + -132 Combine like terms: 132 + -132 = 0 0 + 22k = 24 + -132 22k = 24 + -132 Combine like terms: 24 + -132 = -108 22k = -108 Divide each side by '22'. k = -4.909090909 Simplifying k = -4.909090909
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