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Simplifying 7(-7k + 5) = 8k + 35 Reorder the terms: 7(5 + -7k) = 8k + 35 (5 * 7 + -7k * 7) = 8k + 35 (35 + -49k) = 8k + 35 Reorder the terms: 35 + -49k = 35 + 8k Add '-35' to each side of the equation. 35 + -35 + -49k = 35 + -35 + 8k Combine like terms: 35 + -35 = 0 0 + -49k = 35 + -35 + 8k -49k = 35 + -35 + 8k Combine like terms: 35 + -35 = 0 -49k = 0 + 8k -49k = 8k Solving -49k = 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. -49k + -8k = 8k + -8k Combine like terms: -49k + -8k = -57k -57k = 8k + -8k Combine like terms: 8k + -8k = 0 -57k = 0 Divide each side by '-57'. k = 0 Simplifying k = 0
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