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Simplifying 8(k + 12) + 20 = -4k + 18 Reorder the terms: 8(12 + k) + 20 = -4k + 18 (12 * 8 + k * 8) + 20 = -4k + 18 (96 + 8k) + 20 = -4k + 18 Reorder the terms: 96 + 20 + 8k = -4k + 18 Combine like terms: 96 + 20 = 116 116 + 8k = -4k + 18 Reorder the terms: 116 + 8k = 18 + -4k Solving 116 + 8k = 18 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 116 + 8k + 4k = 18 + -4k + 4k Combine like terms: 8k + 4k = 12k 116 + 12k = 18 + -4k + 4k Combine like terms: -4k + 4k = 0 116 + 12k = 18 + 0 116 + 12k = 18 Add '-116' to each side of the equation. 116 + -116 + 12k = 18 + -116 Combine like terms: 116 + -116 = 0 0 + 12k = 18 + -116 12k = 18 + -116 Combine like terms: 18 + -116 = -98 12k = -98 Divide each side by '12'. k = -8.166666667 Simplifying k = -8.166666667
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