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Simplifying 2k + 7(-2 + -6) = 0 Combine like terms: -2 + -6 = -8 2k + 7(-8) = 0 Multiply 7 * -8 2k + -56 = 0 Reorder the terms: -56 + 2k = 0 Solving -56 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 2k = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 2k = 0 + 56 2k = 0 + 56 Combine like terms: 0 + 56 = 56 2k = 56 Divide each side by '2'. k = 28 Simplifying k = 28
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