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Simplifying 50 + -2(5k + 4) = -4(3k + -7) Reorder the terms: 50 + -2(4 + 5k) = -4(3k + -7) 50 + (4 * -2 + 5k * -2) = -4(3k + -7) 50 + (-8 + -10k) = -4(3k + -7) Combine like terms: 50 + -8 = 42 42 + -10k = -4(3k + -7) Reorder the terms: 42 + -10k = -4(-7 + 3k) 42 + -10k = (-7 * -4 + 3k * -4) 42 + -10k = (28 + -12k) Solving 42 + -10k = 28 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 42 + -10k + 12k = 28 + -12k + 12k Combine like terms: -10k + 12k = 2k 42 + 2k = 28 + -12k + 12k Combine like terms: -12k + 12k = 0 42 + 2k = 28 + 0 42 + 2k = 28 Add '-42' to each side of the equation. 42 + -42 + 2k = 28 + -42 Combine like terms: 42 + -42 = 0 0 + 2k = 28 + -42 2k = 28 + -42 Combine like terms: 28 + -42 = -14 2k = -14 Divide each side by '2'. k = -7 Simplifying k = -7
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