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Simplifying -2 + 6k = 6(6 + -4k) + -8 -2 + 6k = (6 * 6 + -4k * 6) + -8 -2 + 6k = (36 + -24k) + -8 Reorder the terms: -2 + 6k = 36 + -8 + -24k Combine like terms: 36 + -8 = 28 -2 + 6k = 28 + -24k Solving -2 + 6k = 28 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. -2 + 6k + 24k = 28 + -24k + 24k Combine like terms: 6k + 24k = 30k -2 + 30k = 28 + -24k + 24k Combine like terms: -24k + 24k = 0 -2 + 30k = 28 + 0 -2 + 30k = 28 Add '2' to each side of the equation. -2 + 2 + 30k = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 30k = 28 + 2 30k = 28 + 2 Combine like terms: 28 + 2 = 30 30k = 30 Divide each side by '30'. k = 1 Simplifying k = 1
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