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Simplifying -3(1 + 2k) = 39 + 8k (1 * -3 + 2k * -3) = 39 + 8k (-3 + -6k) = 39 + 8k Solving -3 + -6k = 39 + 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. -3 + -6k + -8k = 39 + 8k + -8k Combine like terms: -6k + -8k = -14k -3 + -14k = 39 + 8k + -8k Combine like terms: 8k + -8k = 0 -3 + -14k = 39 + 0 -3 + -14k = 39 Add '3' to each side of the equation. -3 + 3 + -14k = 39 + 3 Combine like terms: -3 + 3 = 0 0 + -14k = 39 + 3 -14k = 39 + 3 Combine like terms: 39 + 3 = 42 -14k = 42 Divide each side by '-14'. k = -3 Simplifying k = -3
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