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Simplifying 3(5k + -7) = 35 + 8k Reorder the terms: 3(-7 + 5k) = 35 + 8k (-7 * 3 + 5k * 3) = 35 + 8k (-21 + 15k) = 35 + 8k Solving -21 + 15k = 35 + 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 + 15k + -8k = 35 + 8k + -8k Combine like terms: 15k + -8k = 7k -21 + 7k = 35 + 8k + -8k Combine like terms: 8k + -8k = 0 -21 + 7k = 35 + 0 -21 + 7k = 35 Add '21' to each side of the equation. -21 + 21 + 7k = 35 + 21 Combine like terms: -21 + 21 = 0 0 + 7k = 35 + 21 7k = 35 + 21 Combine like terms: 35 + 21 = 56 7k = 56 Divide each side by '7'. k = 8 Simplifying k = 8
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