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Simplifying 6k + 5(-4k + -7) = 0 Reorder the terms: 6k + 5(-7 + -4k) = 0 6k + (-7 * 5 + -4k * 5) = 0 6k + (-35 + -20k) = 0 Reorder the terms: -35 + 6k + -20k = 0 Combine like terms: 6k + -20k = -14k -35 + -14k = 0 Solving -35 + -14k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -14k = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -14k = 0 + 35 -14k = 0 + 35 Combine like terms: 0 + 35 = 35 -14k = 35 Divide each side by '-14'. k = -2.5 Simplifying k = -2.5
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