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Simplifying 5(k + -2) + 8k = -34 Reorder the terms: 5(-2 + k) + 8k = -34 (-2 * 5 + k * 5) + 8k = -34 (-10 + 5k) + 8k = -34 Combine like terms: 5k + 8k = 13k -10 + 13k = -34 Solving -10 + 13k = -34 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 13k = -34 + 10 Combine like terms: -10 + 10 = 0 0 + 13k = -34 + 10 13k = -34 + 10 Combine like terms: -34 + 10 = -24 13k = -24 Divide each side by '13'. k = -1.846153846 Simplifying k = -1.846153846
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