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Simplifying -306 = 6 + 8(6k + 3) Reorder the terms: -306 = 6 + 8(3 + 6k) -306 = 6 + (3 * 8 + 6k * 8) -306 = 6 + (24 + 48k) Combine like terms: 6 + 24 = 30 -306 = 30 + 48k Solving -306 = 30 + 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. -306 + -48k = 30 + 48k + -48k Combine like terms: 48k + -48k = 0 -306 + -48k = 30 + 0 -306 + -48k = 30 Add '306' to each side of the equation. -306 + 306 + -48k = 30 + 306 Combine like terms: -306 + 306 = 0 0 + -48k = 30 + 306 -48k = 30 + 306 Combine like terms: 30 + 306 = 336 -48k = 336 Divide each side by '-48'. k = -7 Simplifying k = -7
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