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Simplifying 2k + 6(-3k + -7) = 0 Reorder the terms: 2k + 6(-7 + -3k) = 0 2k + (-7 * 6 + -3k * 6) = 0 2k + (-42 + -18k) = 0 Reorder the terms: -42 + 2k + -18k = 0 Combine like terms: 2k + -18k = -16k -42 + -16k = 0 Solving -42 + -16k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -16k = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -16k = 0 + 42 -16k = 0 + 42 Combine like terms: 0 + 42 = 42 -16k = 42 Divide each side by '-16'. k = -2.625 Simplifying k = -2.625
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