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Simplifying 5(2 + -1k) + -8k = -34 (2 * 5 + -1k * 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 = -44 -13k = -44 Divide each side by '-13'. k = 3.384615385 Simplifying k = 3.384615385
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