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Simplifying 170 = 5(-6 + 8k) 170 = (-6 * 5 + 8k * 5) 170 = (-30 + 40k) Solving 170 = -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. 170 + -40k = -30 + 40k + -40k Combine like terms: 40k + -40k = 0 170 + -40k = -30 + 0 170 + -40k = -30 Add '-170' to each side of the equation. 170 + -170 + -40k = -30 + -170 Combine like terms: 170 + -170 = 0 0 + -40k = -30 + -170 -40k = -30 + -170 Combine like terms: -30 + -170 = -200 -40k = -200 Divide each side by '-40'. k = 5 Simplifying k = 5
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