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Simplifying 5(k + -3) + -8k = -34 Reorder the terms: 5(-3 + k) + -8k = -34 (-3 * 5 + k * 5) + -8k = -34 (-15 + 5k) + -8k = -34 Combine like terms: 5k + -8k = -3k -15 + -3k = -34 Solving -15 + -3k = -34 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -3k = -34 + 15 Combine like terms: -15 + 15 = 0 0 + -3k = -34 + 15 -3k = -34 + 15 Combine like terms: -34 + 15 = -19 -3k = -19 Divide each side by '-3'. k = 6.333333333 Simplifying k = 6.333333333
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