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Simplifying 2 + 6k = 8(5k + -4) Reorder the terms: 2 + 6k = 8(-4 + 5k) 2 + 6k = (-4 * 8 + 5k * 8) 2 + 6k = (-32 + 40k) Solving 2 + 6k = -32 + 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. 2 + 6k + -40k = -32 + 40k + -40k Combine like terms: 6k + -40k = -34k 2 + -34k = -32 + 40k + -40k Combine like terms: 40k + -40k = 0 2 + -34k = -32 + 0 2 + -34k = -32 Add '-2' to each side of the equation. 2 + -2 + -34k = -32 + -2 Combine like terms: 2 + -2 = 0 0 + -34k = -32 + -2 -34k = -32 + -2 Combine like terms: -32 + -2 = -34 -34k = -34 Divide each side by '-34'. k = 1 Simplifying k = 1
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