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Simplifying 290 = -5(6 + -8k) 290 = (6 * -5 + -8k * -5) 290 = (-30 + 40k) Solving 290 = -30 + 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. 290 + -40k = -30 + 40k + -40k Combine like terms: 40k + -40k = 0 290 + -40k = -30 + 0 290 + -40k = -30 Add '-290' to each side of the equation. 290 + -290 + -40k = -30 + -290 Combine like terms: 290 + -290 = 0 0 + -40k = -30 + -290 -40k = -30 + -290 Combine like terms: -30 + -290 = -320 -40k = -320 Divide each side by '-40'. k = 8 Simplifying k = 8
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