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Simplifying 35 = -5 + 9(k + -6) Reorder the terms: 35 = -5 + 9(-6 + k) 35 = -5 + (-6 * 9 + k * 9) 35 = -5 + (-54 + 9k) Combine like terms: -5 + -54 = -59 35 = -59 + 9k Solving 35 = -59 + 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. 35 + -9k = -59 + 9k + -9k Combine like terms: 9k + -9k = 0 35 + -9k = -59 + 0 35 + -9k = -59 Add '-35' to each side of the equation. 35 + -35 + -9k = -59 + -35 Combine like terms: 35 + -35 = 0 0 + -9k = -59 + -35 -9k = -59 + -35 Combine like terms: -59 + -35 = -94 -9k = -94 Divide each side by '-9'. k = 10.44444444 Simplifying k = 10.44444444
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