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Simplifying 6k + 30 = 6(3k + -5) Reorder the terms: 30 + 6k = 6(3k + -5) Reorder the terms: 30 + 6k = 6(-5 + 3k) 30 + 6k = (-5 * 6 + 3k * 6) 30 + 6k = (-30 + 18k) Solving 30 + 6k = -30 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 30 + 6k + -18k = -30 + 18k + -18k Combine like terms: 6k + -18k = -12k 30 + -12k = -30 + 18k + -18k Combine like terms: 18k + -18k = 0 30 + -12k = -30 + 0 30 + -12k = -30 Add '-30' to each side of the equation. 30 + -30 + -12k = -30 + -30 Combine like terms: 30 + -30 = 0 0 + -12k = -30 + -30 -12k = -30 + -30 Combine like terms: -30 + -30 = -60 -12k = -60 Divide each side by '-12'. k = 5 Simplifying k = 5
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