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Simplifying -108 = -8k + -5(k + 6) Reorder the terms: -108 = -8k + -5(6 + k) -108 = -8k + (6 * -5 + k * -5) -108 = -8k + (-30 + -5k) Reorder the terms: -108 = -30 + -8k + -5k Combine like terms: -8k + -5k = -13k -108 = -30 + -13k Solving -108 = -30 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. -108 + 13k = -30 + -13k + 13k Combine like terms: -13k + 13k = 0 -108 + 13k = -30 + 0 -108 + 13k = -30 Add '108' to each side of the equation. -108 + 108 + 13k = -30 + 108 Combine like terms: -108 + 108 = 0 0 + 13k = -30 + 108 13k = -30 + 108 Combine like terms: -30 + 108 = 78 13k = 78 Divide each side by '13'. k = 6 Simplifying k = 6
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