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Simplifying -7(2 + -3k) = 3k + 40 (2 * -7 + -3k * -7) = 3k + 40 (-14 + 21k) = 3k + 40 Reorder the terms: -14 + 21k = 40 + 3k Solving -14 + 21k = 40 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -14 + 21k + -3k = 40 + 3k + -3k Combine like terms: 21k + -3k = 18k -14 + 18k = 40 + 3k + -3k Combine like terms: 3k + -3k = 0 -14 + 18k = 40 + 0 -14 + 18k = 40 Add '14' to each side of the equation. -14 + 14 + 18k = 40 + 14 Combine like terms: -14 + 14 = 0 0 + 18k = 40 + 14 18k = 40 + 14 Combine like terms: 40 + 14 = 54 18k = 54 Divide each side by '18'. k = 3 Simplifying k = 3
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