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Simplifying 7(3l + 5k) + -14l + 12 = 0 Reorder the terms: 7(5k + 3l) + -14l + 12 = 0 (5k * 7 + 3l * 7) + -14l + 12 = 0 (35k + 21l) + -14l + 12 = 0 Reorder the terms: 12 + 35k + 21l + -14l = 0 Combine like terms: 21l + -14l = 7l 12 + 35k + 7l = 0 Solving 12 + 35k + 7l = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 35k + -12 + 7l = 0 + -12 Reorder the terms: 12 + -12 + 35k + 7l = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 35k + 7l = 0 + -12 35k + 7l = 0 + -12 Combine like terms: 0 + -12 = -12 35k + 7l = -12 Add '-7l' to each side of the equation. 35k + 7l + -7l = -12 + -7l Combine like terms: 7l + -7l = 0 35k + 0 = -12 + -7l 35k = -12 + -7l Divide each side by '35'. k = -0.3428571429 + -0.2l Simplifying k = -0.3428571429 + -0.2l
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