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Simplifying -8(1 + 2k) = -35 + -7k (1 * -8 + 2k * -8) = -35 + -7k (-8 + -16k) = -35 + -7k Solving -8 + -16k = -35 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -8 + -16k + 7k = -35 + -7k + 7k Combine like terms: -16k + 7k = -9k -8 + -9k = -35 + -7k + 7k Combine like terms: -7k + 7k = 0 -8 + -9k = -35 + 0 -8 + -9k = -35 Add '8' to each side of the equation. -8 + 8 + -9k = -35 + 8 Combine like terms: -8 + 8 = 0 0 + -9k = -35 + 8 -9k = -35 + 8 Combine like terms: -35 + 8 = -27 -9k = -27 Divide each side by '-9'. k = 3 Simplifying k = 3
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