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Simplifying 2(3k + -1) = 7(m + 2) Reorder the terms: 2(-1 + 3k) = 7(m + 2) (-1 * 2 + 3k * 2) = 7(m + 2) (-2 + 6k) = 7(m + 2) Reorder the terms: -2 + 6k = 7(2 + m) -2 + 6k = (2 * 7 + m * 7) -2 + 6k = (14 + 7m) Solving -2 + 6k = 14 + 7m Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6k = 14 + 2 + 7m Combine like terms: -2 + 2 = 0 0 + 6k = 14 + 2 + 7m 6k = 14 + 2 + 7m Combine like terms: 14 + 2 = 16 6k = 16 + 7m Divide each side by '6'. k = 2.666666667 + 1.166666667m Simplifying k = 2.666666667 + 1.166666667m
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