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Simplifying 5(5 + -2) + -8k = -34 Combine like terms: 5 + -2 = 3 5(3) + -8k = -34 Multiply 5 * 3 15 + -8k = -34 Solving 15 + -8k = -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 + -8k = -34 + -15 Combine like terms: 15 + -15 = 0 0 + -8k = -34 + -15 -8k = -34 + -15 Combine like terms: -34 + -15 = -49 -8k = -49 Divide each side by '-8'. k = 6.125 Simplifying k = 6.125
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