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Simplifying 9 + -8k = -5k + -6(6 + -7k) 9 + -8k = -5k + (6 * -6 + -7k * -6) 9 + -8k = -5k + (-36 + 42k) Reorder the terms: 9 + -8k = -36 + -5k + 42k Combine like terms: -5k + 42k = 37k 9 + -8k = -36 + 37k Solving 9 + -8k = -36 + 37k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-37k' to each side of the equation. 9 + -8k + -37k = -36 + 37k + -37k Combine like terms: -8k + -37k = -45k 9 + -45k = -36 + 37k + -37k Combine like terms: 37k + -37k = 0 9 + -45k = -36 + 0 9 + -45k = -36 Add '-9' to each side of the equation. 9 + -9 + -45k = -36 + -9 Combine like terms: 9 + -9 = 0 0 + -45k = -36 + -9 -45k = -36 + -9 Combine like terms: -36 + -9 = -45 -45k = -45 Divide each side by '-45'. k = 1 Simplifying k = 1
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