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Simplifying 7(2k + -4) + k = 0 Reorder the terms: 7(-4 + 2k) + k = 0 (-4 * 7 + 2k * 7) + k = 0 (-28 + 14k) + k = 0 Combine like terms: 14k + k = 15k -28 + 15k = 0 Solving -28 + 15k = 0 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 + 15k = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 15k = 0 + 28 15k = 0 + 28 Combine like terms: 0 + 28 = 28 15k = 28 Divide each side by '15'. k = 1.866666667 Simplifying k = 1.866666667
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