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Simplifying 6k + 2(k + -3) = 10 + -8k Reorder the terms: 6k + 2(-3 + k) = 10 + -8k 6k + (-3 * 2 + k * 2) = 10 + -8k 6k + (-6 + 2k) = 10 + -8k Reorder the terms: -6 + 6k + 2k = 10 + -8k Combine like terms: 6k + 2k = 8k -6 + 8k = 10 + -8k Solving -6 + 8k = 10 + -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. -6 + 8k + 8k = 10 + -8k + 8k Combine like terms: 8k + 8k = 16k -6 + 16k = 10 + -8k + 8k Combine like terms: -8k + 8k = 0 -6 + 16k = 10 + 0 -6 + 16k = 10 Add '6' to each side of the equation. -6 + 6 + 16k = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 16k = 10 + 6 16k = 10 + 6 Combine like terms: 10 + 6 = 16 16k = 16 Divide each side by '16'. k = 1 Simplifying k = 1
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