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Simplifying 6(k + 7) = -6(k + 7) Reorder the terms: 6(7 + k) = -6(k + 7) (7 * 6 + k * 6) = -6(k + 7) (42 + 6k) = -6(k + 7) Reorder the terms: 42 + 6k = -6(7 + k) 42 + 6k = (7 * -6 + k * -6) 42 + 6k = (-42 + -6k) Solving 42 + 6k = -42 + -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 + 6k = -42 + -6k + 6k Combine like terms: 6k + 6k = 12k 42 + 12k = -42 + -6k + 6k Combine like terms: -6k + 6k = 0 42 + 12k = -42 + 0 42 + 12k = -42 Add '-42' to each side of the equation. 42 + -42 + 12k = -42 + -42 Combine like terms: 42 + -42 = 0 0 + 12k = -42 + -42 12k = -42 + -42 Combine like terms: -42 + -42 = -84 12k = -84 Divide each side by '12'. k = -7 Simplifying k = -7
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