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Simplifying -34 = 8(6k + -4) Reorder the terms: -34 = 8(-4 + 6k) -34 = (-4 * 8 + 6k * 8) -34 = (-32 + 48k) Solving -34 = -32 + 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. -34 + -48k = -32 + 48k + -48k Combine like terms: 48k + -48k = 0 -34 + -48k = -32 + 0 -34 + -48k = -32 Add '34' to each side of the equation. -34 + 34 + -48k = -32 + 34 Combine like terms: -34 + 34 = 0 0 + -48k = -32 + 34 -48k = -32 + 34 Combine like terms: -32 + 34 = 2 -48k = 2 Divide each side by '-48'. k = -0.04166666667 Simplifying k = -0.04166666667
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