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Simplifying -234 = 6(-8 + 5k) + -6 -234 = (-8 * 6 + 5k * 6) + -6 -234 = (-48 + 30k) + -6 Reorder the terms: -234 = -48 + -6 + 30k Combine like terms: -48 + -6 = -54 -234 = -54 + 30k Solving -234 = -54 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -234 + -30k = -54 + 30k + -30k Combine like terms: 30k + -30k = 0 -234 + -30k = -54 + 0 -234 + -30k = -54 Add '234' to each side of the equation. -234 + 234 + -30k = -54 + 234 Combine like terms: -234 + 234 = 0 0 + -30k = -54 + 234 -30k = -54 + 234 Combine like terms: -54 + 234 = 180 -30k = 180 Divide each side by '-30'. k = -6 Simplifying k = -6
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