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Simplifying -7(2k + -7) + 4(2 + 5k) = 57 Reorder the terms: -7(-7 + 2k) + 4(2 + 5k) = 57 (-7 * -7 + 2k * -7) + 4(2 + 5k) = 57 (49 + -14k) + 4(2 + 5k) = 57 49 + -14k + (2 * 4 + 5k * 4) = 57 49 + -14k + (8 + 20k) = 57 Reorder the terms: 49 + 8 + -14k + 20k = 57 Combine like terms: 49 + 8 = 57 57 + -14k + 20k = 57 Combine like terms: -14k + 20k = 6k 57 + 6k = 57 Add '-57' to each side of the equation. 57 + -57 + 6k = 57 + -57 Combine like terms: 57 + -57 = 0 0 + 6k = 57 + -57 6k = 57 + -57 Combine like terms: 57 + -57 = 0 6k = 0 Solving 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '6'. k = 0 Simplifying k = 0
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