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Simplifying 3(2k + -1) = 3k + -7 Reorder the terms: 3(-1 + 2k) = 3k + -7 (-1 * 3 + 2k * 3) = 3k + -7 (-3 + 6k) = 3k + -7 Reorder the terms: -3 + 6k = -7 + 3k Solving -3 + 6k = -7 + 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. -3 + 6k + -3k = -7 + 3k + -3k Combine like terms: 6k + -3k = 3k -3 + 3k = -7 + 3k + -3k Combine like terms: 3k + -3k = 0 -3 + 3k = -7 + 0 -3 + 3k = -7 Add '3' to each side of the equation. -3 + 3 + 3k = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = -7 + 3 3k = -7 + 3 Combine like terms: -7 + 3 = -4 3k = -4 Divide each side by '3'. k = -1.333333333 Simplifying k = -1.333333333
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