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Simplifying 42 = 6(k + -5) Reorder the terms: 42 = 6(-5 + k) 42 = (-5 * 6 + k * 6) 42 = (-30 + 6k) Solving 42 = -30 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 42 + -6k = -30 + 6k + -6k Combine like terms: 6k + -6k = 0 42 + -6k = -30 + 0 42 + -6k = -30 Add '-42' to each side of the equation. 42 + -42 + -6k = -30 + -42 Combine like terms: 42 + -42 = 0 0 + -6k = -30 + -42 -6k = -30 + -42 Combine like terms: -30 + -42 = -72 -6k = -72 Divide each side by '-6'. k = 12 Simplifying k = 12
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