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Simplifying 5 + -1(2k + -3) + 9 = 0 Reorder the terms: 5 + -1(-3 + 2k) + 9 = 0 5 + (-3 * -1 + 2k * -1) + 9 = 0 5 + (3 + -2k) + 9 = 0 Reorder the terms: 5 + 3 + 9 + -2k = 0 Combine like terms: 5 + 3 = 8 8 + 9 + -2k = 0 Combine like terms: 8 + 9 = 17 17 + -2k = 0 Solving 17 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2k = 0 + -17 -2k = 0 + -17 Combine like terms: 0 + -17 = -17 -2k = -17 Divide each side by '-2'. k = 8.5 Simplifying k = 8.5
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