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Simplifying 8k + -10 = 3(6 + -2k) Reorder the terms: -10 + 8k = 3(6 + -2k) -10 + 8k = (6 * 3 + -2k * 3) -10 + 8k = (18 + -6k) Solving -10 + 8k = 18 + -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. -10 + 8k + 6k = 18 + -6k + 6k Combine like terms: 8k + 6k = 14k -10 + 14k = 18 + -6k + 6k Combine like terms: -6k + 6k = 0 -10 + 14k = 18 + 0 -10 + 14k = 18 Add '10' to each side of the equation. -10 + 10 + 14k = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 14k = 18 + 10 14k = 18 + 10 Combine like terms: 18 + 10 = 28 14k = 28 Divide each side by '14'. k = 2 Simplifying k = 2
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