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Simplifying -30 + -7k = 8(6k + 2) Reorder the terms: -30 + -7k = 8(2 + 6k) -30 + -7k = (2 * 8 + 6k * 8) -30 + -7k = (16 + 48k) Solving -30 + -7k = 16 + 48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48k' to each side of the equation. -30 + -7k + -48k = 16 + 48k + -48k Combine like terms: -7k + -48k = -55k -30 + -55k = 16 + 48k + -48k Combine like terms: 48k + -48k = 0 -30 + -55k = 16 + 0 -30 + -55k = 16 Add '30' to each side of the equation. -30 + 30 + -55k = 16 + 30 Combine like terms: -30 + 30 = 0 0 + -55k = 16 + 30 -55k = 16 + 30 Combine like terms: 16 + 30 = 46 -55k = 46 Divide each side by '-55'. k = -0.8363636364 Simplifying k = -0.8363636364
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