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Simplifying 38 + 7k = -8(k + -4) Reorder the terms: 38 + 7k = -8(-4 + k) 38 + 7k = (-4 * -8 + k * -8) 38 + 7k = (32 + -8k) Solving 38 + 7k = 32 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 38 + 7k + 8k = 32 + -8k + 8k Combine like terms: 7k + 8k = 15k 38 + 15k = 32 + -8k + 8k Combine like terms: -8k + 8k = 0 38 + 15k = 32 + 0 38 + 15k = 32 Add '-38' to each side of the equation. 38 + -38 + 15k = 32 + -38 Combine like terms: 38 + -38 = 0 0 + 15k = 32 + -38 15k = 32 + -38 Combine like terms: 32 + -38 = -6 15k = -6 Divide each side by '15'. k = -0.4 Simplifying k = -0.4
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