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Simplifying 7 + -1(3k + 5) = 3k Reorder the terms: 7 + -1(5 + 3k) = 3k 7 + (5 * -1 + 3k * -1) = 3k 7 + (-5 + -3k) = 3k Combine like terms: 7 + -5 = 2 2 + -3k = 3k Solving 2 + -3k = 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. 2 + -3k + -3k = 3k + -3k Combine like terms: -3k + -3k = -6k 2 + -6k = 3k + -3k Combine like terms: 3k + -3k = 0 2 + -6k = 0 Add '-2' to each side of the equation. 2 + -2 + -6k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -6k = 0 + -2 -6k = 0 + -2 Combine like terms: 0 + -2 = -2 -6k = -2 Divide each side by '-6'. k = 0.3333333333 Simplifying k = 0.3333333333
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