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Simplifying 40 = -8(k + 3) Reorder the terms: 40 = -8(3 + k) 40 = (3 * -8 + k * -8) 40 = (-24 + -8k) Solving 40 = -24 + -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. 40 + 8k = -24 + -8k + 8k Combine like terms: -8k + 8k = 0 40 + 8k = -24 + 0 40 + 8k = -24 Add '-40' to each side of the equation. 40 + -40 + 8k = -24 + -40 Combine like terms: 40 + -40 = 0 0 + 8k = -24 + -40 8k = -24 + -40 Combine like terms: -24 + -40 = -64 8k = -64 Divide each side by '8'. k = -8 Simplifying k = -8
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