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Simplifying -8(1 + -3k) = 3k + 34 (1 * -8 + -3k * -8) = 3k + 34 (-8 + 24k) = 3k + 34 Reorder the terms: -8 + 24k = 34 + 3k Solving -8 + 24k = 34 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -8 + 24k + -3k = 34 + 3k + -3k Combine like terms: 24k + -3k = 21k -8 + 21k = 34 + 3k + -3k Combine like terms: 3k + -3k = 0 -8 + 21k = 34 + 0 -8 + 21k = 34 Add '8' to each side of the equation. -8 + 8 + 21k = 34 + 8 Combine like terms: -8 + 8 = 0 0 + 21k = 34 + 8 21k = 34 + 8 Combine like terms: 34 + 8 = 42 21k = 42 Divide each side by '21'. k = 2 Simplifying k = 2
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