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Simplifying 6 + -5(-7k + -3) = -33 + 8k Reorder the terms: 6 + -5(-3 + -7k) = -33 + 8k 6 + (-3 * -5 + -7k * -5) = -33 + 8k 6 + (15 + 35k) = -33 + 8k Combine like terms: 6 + 15 = 21 21 + 35k = -33 + 8k Solving 21 + 35k = -33 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 21 + 35k + -8k = -33 + 8k + -8k Combine like terms: 35k + -8k = 27k 21 + 27k = -33 + 8k + -8k Combine like terms: 8k + -8k = 0 21 + 27k = -33 + 0 21 + 27k = -33 Add '-21' to each side of the equation. 21 + -21 + 27k = -33 + -21 Combine like terms: 21 + -21 = 0 0 + 27k = -33 + -21 27k = -33 + -21 Combine like terms: -33 + -21 = -54 27k = -54 Divide each side by '27'. k = -2 Simplifying k = -2
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