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Simplifying -85 = 5k + 6(k + -5) Reorder the terms: -85 = 5k + 6(-5 + k) -85 = 5k + (-5 * 6 + k * 6) -85 = 5k + (-30 + 6k) Reorder the terms: -85 = -30 + 5k + 6k Combine like terms: 5k + 6k = 11k -85 = -30 + 11k Solving -85 = -30 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. -85 + -11k = -30 + 11k + -11k Combine like terms: 11k + -11k = 0 -85 + -11k = -30 + 0 -85 + -11k = -30 Add '85' to each side of the equation. -85 + 85 + -11k = -30 + 85 Combine like terms: -85 + 85 = 0 0 + -11k = -30 + 85 -11k = -30 + 85 Combine like terms: -30 + 85 = 55 -11k = 55 Divide each side by '-11'. k = -5 Simplifying k = -5
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