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Simplifying -2k + -20 = 8k + -2(7k + -6) Reorder the terms: -20 + -2k = 8k + -2(7k + -6) Reorder the terms: -20 + -2k = 8k + -2(-6 + 7k) -20 + -2k = 8k + (-6 * -2 + 7k * -2) -20 + -2k = 8k + (12 + -14k) Reorder the terms: -20 + -2k = 12 + 8k + -14k Combine like terms: 8k + -14k = -6k -20 + -2k = 12 + -6k Solving -20 + -2k = 12 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -20 + -2k + 6k = 12 + -6k + 6k Combine like terms: -2k + 6k = 4k -20 + 4k = 12 + -6k + 6k Combine like terms: -6k + 6k = 0 -20 + 4k = 12 + 0 -20 + 4k = 12 Add '20' to each side of the equation. -20 + 20 + 4k = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 4k = 12 + 20 4k = 12 + 20 Combine like terms: 12 + 20 = 32 4k = 32 Divide each side by '4'. k = 8 Simplifying k = 8
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