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Simplifying 3(4k + 14) = 10l + -2(k + -7) Reorder the terms: 3(14 + 4k) = 10l + -2(k + -7) (14 * 3 + 4k * 3) = 10l + -2(k + -7) (42 + 12k) = 10l + -2(k + -7) Reorder the terms: 42 + 12k = 10l + -2(-7 + k) 42 + 12k = 10l + (-7 * -2 + k * -2) 42 + 12k = 10l + (14 + -2k) Reorder the terms: 42 + 12k = 14 + -2k + 10l Solving 42 + 12k = 14 + -2k + 10l Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 42 + 12k + 2k = 14 + -2k + 2k + 10l Combine like terms: 12k + 2k = 14k 42 + 14k = 14 + -2k + 2k + 10l Combine like terms: -2k + 2k = 0 42 + 14k = 14 + 0 + 10l 42 + 14k = 14 + 10l Add '-42' to each side of the equation. 42 + -42 + 14k = 14 + -42 + 10l Combine like terms: 42 + -42 = 0 0 + 14k = 14 + -42 + 10l 14k = 14 + -42 + 10l Combine like terms: 14 + -42 = -28 14k = -28 + 10l Divide each side by '14'. k = -2 + 0.7142857143l Simplifying k = -2 + 0.7142857143l
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