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Simplifying 6(-7 + 11k) = 5(18 + 12k) (-7 * 6 + 11k * 6) = 5(18 + 12k) (-42 + 66k) = 5(18 + 12k) -42 + 66k = (18 * 5 + 12k * 5) -42 + 66k = (90 + 60k) Solving -42 + 66k = 90 + 60k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-60k' to each side of the equation. -42 + 66k + -60k = 90 + 60k + -60k Combine like terms: 66k + -60k = 6k -42 + 6k = 90 + 60k + -60k Combine like terms: 60k + -60k = 0 -42 + 6k = 90 + 0 -42 + 6k = 90 Add '42' to each side of the equation. -42 + 42 + 6k = 90 + 42 Combine like terms: -42 + 42 = 0 0 + 6k = 90 + 42 6k = 90 + 42 Combine like terms: 90 + 42 = 132 6k = 132 Divide each side by '6'. k = 22 Simplifying k = 22
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