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Simplifying 26 + -8k = 3(8k + -2) Reorder the terms: 26 + -8k = 3(-2 + 8k) 26 + -8k = (-2 * 3 + 8k * 3) 26 + -8k = (-6 + 24k) Solving 26 + -8k = -6 + 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. 26 + -8k + -24k = -6 + 24k + -24k Combine like terms: -8k + -24k = -32k 26 + -32k = -6 + 24k + -24k Combine like terms: 24k + -24k = 0 26 + -32k = -6 + 0 26 + -32k = -6 Add '-26' to each side of the equation. 26 + -26 + -32k = -6 + -26 Combine like terms: 26 + -26 = 0 0 + -32k = -6 + -26 -32k = -6 + -26 Combine like terms: -6 + -26 = -32 -32k = -32 Divide each side by '-32'. k = 1 Simplifying k = 1
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