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Simplifying 34 + -6k = 5(8k + 4) Reorder the terms: 34 + -6k = 5(4 + 8k) 34 + -6k = (4 * 5 + 8k * 5) 34 + -6k = (20 + 40k) Solving 34 + -6k = 20 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. 34 + -6k + -40k = 20 + 40k + -40k Combine like terms: -6k + -40k = -46k 34 + -46k = 20 + 40k + -40k Combine like terms: 40k + -40k = 0 34 + -46k = 20 + 0 34 + -46k = 20 Add '-34' to each side of the equation. 34 + -34 + -46k = 20 + -34 Combine like terms: 34 + -34 = 0 0 + -46k = 20 + -34 -46k = 20 + -34 Combine like terms: 20 + -34 = -14 -46k = -14 Divide each side by '-46'. k = 0.3043478261 Simplifying k = 0.3043478261
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