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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 = 70 -15k = 70 Divide each side by '-15'. k = -4.666666667 Simplifying k = -4.666666667
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