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Simplifying -256 = 8(6k + 4) Reorder the terms: -256 = 8(4 + 6k) -256 = (4 * 8 + 6k * 8) -256 = (32 + 48k) Solving -256 = 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. -256 + -48k = 32 + 48k + -48k Combine like terms: 48k + -48k = 0 -256 + -48k = 32 + 0 -256 + -48k = 32 Add '256' to each side of the equation. -256 + 256 + -48k = 32 + 256 Combine like terms: -256 + 256 = 0 0 + -48k = 32 + 256 -48k = 32 + 256 Combine like terms: 32 + 256 = 288 -48k = 288 Divide each side by '-48'. k = -6 Simplifying k = -6
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