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Simplifying 12(2k + 11) = 10(2k + 12) Reorder the terms: 12(11 + 2k) = 10(2k + 12) (11 * 12 + 2k * 12) = 10(2k + 12) (132 + 24k) = 10(2k + 12) Reorder the terms: 132 + 24k = 10(12 + 2k) 132 + 24k = (12 * 10 + 2k * 10) 132 + 24k = (120 + 20k) Solving 132 + 24k = 120 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 132 + 24k + -20k = 120 + 20k + -20k Combine like terms: 24k + -20k = 4k 132 + 4k = 120 + 20k + -20k Combine like terms: 20k + -20k = 0 132 + 4k = 120 + 0 132 + 4k = 120 Add '-132' to each side of the equation. 132 + -132 + 4k = 120 + -132 Combine like terms: 132 + -132 = 0 0 + 4k = 120 + -132 4k = 120 + -132 Combine like terms: 120 + -132 = -12 4k = -12 Divide each side by '4'. k = -3 Simplifying k = -3
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