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Simplifying -3(6 + 5k) + -1k = -34 (6 * -3 + 5k * -3) + -1k = -34 (-18 + -15k) + -1k = -34 Combine like terms: -15k + -1k = -16k -18 + -16k = -34 Solving -18 + -16k = -34 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -16k = -34 + 18 Combine like terms: -18 + 18 = 0 0 + -16k = -34 + 18 -16k = -34 + 18 Combine like terms: -34 + 18 = -16 -16k = -16 Divide each side by '-16'. k = 1 Simplifying k = 1
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