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Simplifying 7(k + -6) = 6k + -2(4 + 8k) Reorder the terms: 7(-6 + k) = 6k + -2(4 + 8k) (-6 * 7 + k * 7) = 6k + -2(4 + 8k) (-42 + 7k) = 6k + -2(4 + 8k) -42 + 7k = 6k + (4 * -2 + 8k * -2) -42 + 7k = 6k + (-8 + -16k) Reorder the terms: -42 + 7k = -8 + 6k + -16k Combine like terms: 6k + -16k = -10k -42 + 7k = -8 + -10k Solving -42 + 7k = -8 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -42 + 7k + 10k = -8 + -10k + 10k Combine like terms: 7k + 10k = 17k -42 + 17k = -8 + -10k + 10k Combine like terms: -10k + 10k = 0 -42 + 17k = -8 + 0 -42 + 17k = -8 Add '42' to each side of the equation. -42 + 42 + 17k = -8 + 42 Combine like terms: -42 + 42 = 0 0 + 17k = -8 + 42 17k = -8 + 42 Combine like terms: -8 + 42 = 34 17k = 34 Divide each side by '17'. k = 2 Simplifying k = 2
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