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Simplifying 3(1 + 8k) + 1 = -2(6k + -2) (1 * 3 + 8k * 3) + 1 = -2(6k + -2) (3 + 24k) + 1 = -2(6k + -2) Reorder the terms: 3 + 1 + 24k = -2(6k + -2) Combine like terms: 3 + 1 = 4 4 + 24k = -2(6k + -2) Reorder the terms: 4 + 24k = -2(-2 + 6k) 4 + 24k = (-2 * -2 + 6k * -2) 4 + 24k = (4 + -12k) Add '-4' to each side of the equation. 4 + -4 + 24k = 4 + -4 + -12k Combine like terms: 4 + -4 = 0 0 + 24k = 4 + -4 + -12k 24k = 4 + -4 + -12k Combine like terms: 4 + -4 = 0 24k = 0 + -12k 24k = -12k Solving 24k = -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. 24k + 12k = -12k + 12k Combine like terms: 24k + 12k = 36k 36k = -12k + 12k Combine like terms: -12k + 12k = 0 36k = 0 Divide each side by '36'. k = 0 Simplifying k = 0
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