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Simplifying 40 + k = -8(k + -5) Reorder the terms: 40 + k = -8(-5 + k) 40 + k = (-5 * -8 + k * -8) 40 + k = (40 + -8k) Add '-40' to each side of the equation. 40 + -40 + k = 40 + -40 + -8k Combine like terms: 40 + -40 = 0 0 + k = 40 + -40 + -8k k = 40 + -40 + -8k Combine like terms: 40 + -40 = 0 k = 0 + -8k k = -8k Solving k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. k + 8k = -8k + 8k Combine like terms: k + 8k = 9k 9k = -8k + 8k Combine like terms: -8k + 8k = 0 9k = 0 Divide each side by '9'. k = 0 Simplifying k = 0
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