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Simplifying 15 = -5 + 9(k + -8) Reorder the terms: 15 = -5 + 9(-8 + k) 15 = -5 + (-8 * 9 + k * 9) 15 = -5 + (-72 + 9k) Combine like terms: -5 + -72 = -77 15 = -77 + 9k Solving 15 = -77 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 15 + -9k = -77 + 9k + -9k Combine like terms: 9k + -9k = 0 15 + -9k = -77 + 0 15 + -9k = -77 Add '-15' to each side of the equation. 15 + -15 + -9k = -77 + -15 Combine like terms: 15 + -15 = 0 0 + -9k = -77 + -15 -9k = -77 + -15 Combine like terms: -77 + -15 = -92 -9k = -92 Divide each side by '-9'. k = 10.22222222 Simplifying k = 10.22222222
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