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Simplifying -7(4 + -8k) + 2k = 378 (4 * -7 + -8k * -7) + 2k = 378 (-28 + 56k) + 2k = 378 Combine like terms: 56k + 2k = 58k -28 + 58k = 378 Solving -28 + 58k = 378 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 58k = 378 + 28 Combine like terms: -28 + 28 = 0 0 + 58k = 378 + 28 58k = 378 + 28 Combine like terms: 378 + 28 = 406 58k = 406 Divide each side by '58'. k = 7 Simplifying k = 7
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