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Simplifying 102 = -6(-5k + -7) Reorder the terms: 102 = -6(-7 + -5k) 102 = (-7 * -6 + -5k * -6) 102 = (42 + 30k) Solving 102 = 42 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 102 + -30k = 42 + 30k + -30k Combine like terms: 30k + -30k = 0 102 + -30k = 42 + 0 102 + -30k = 42 Add '-102' to each side of the equation. 102 + -102 + -30k = 42 + -102 Combine like terms: 102 + -102 = 0 0 + -30k = 42 + -102 -30k = 42 + -102 Combine like terms: 42 + -102 = -60 -30k = -60 Divide each side by '-30'. k = 2 Simplifying k = 2
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