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Simplifying -2(7k + 4) = -40 + -6k Reorder the terms: -2(4 + 7k) = -40 + -6k (4 * -2 + 7k * -2) = -40 + -6k (-8 + -14k) = -40 + -6k Solving -8 + -14k = -40 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -8 + -14k + 6k = -40 + -6k + 6k Combine like terms: -14k + 6k = -8k -8 + -8k = -40 + -6k + 6k Combine like terms: -6k + 6k = 0 -8 + -8k = -40 + 0 -8 + -8k = -40 Add '8' to each side of the equation. -8 + 8 + -8k = -40 + 8 Combine like terms: -8 + 8 = 0 0 + -8k = -40 + 8 -8k = -40 + 8 Combine like terms: -40 + 8 = -32 -8k = -32 Divide each side by '-8'. k = 4 Simplifying k = 4
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