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Simplifying -3(2k + -7) + -3(5k + -4) + -14k = 0 Reorder the terms: -3(-7 + 2k) + -3(5k + -4) + -14k = 0 (-7 * -3 + 2k * -3) + -3(5k + -4) + -14k = 0 (21 + -6k) + -3(5k + -4) + -14k = 0 Reorder the terms: 21 + -6k + -3(-4 + 5k) + -14k = 0 21 + -6k + (-4 * -3 + 5k * -3) + -14k = 0 21 + -6k + (12 + -15k) + -14k = 0 Reorder the terms: 21 + 12 + -6k + -15k + -14k = 0 Combine like terms: 21 + 12 = 33 33 + -6k + -15k + -14k = 0 Combine like terms: -6k + -15k = -21k 33 + -21k + -14k = 0 Combine like terms: -21k + -14k = -35k 33 + -35k = 0 Solving 33 + -35k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -35k = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -35k = 0 + -33 -35k = 0 + -33 Combine like terms: 0 + -33 = -33 -35k = -33 Divide each side by '-35'. k = 0.9428571429 Simplifying k = 0.9428571429
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