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Simplifying -80 = 10(k + -8) Reorder the terms: -80 = 10(-8 + k) -80 = (-8 * 10 + k * 10) -80 = (-80 + 10k) Add '80' to each side of the equation. -80 + 80 = -80 + 80 + 10k Combine like terms: -80 + 80 = 0 0 = -80 + 80 + 10k Combine like terms: -80 + 80 = 0 0 = 0 + 10k 0 = 10k Solving 0 = 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 0 + -10k = 10k + -10k Remove the zero: -10k = 10k + -10k Combine like terms: 10k + -10k = 0 -10k = 0 Divide each side by '-10'. k = 0 Simplifying k = 0
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