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Simplifying 5(1 + k) = -6(3 + -2k) + 2 (1 * 5 + k * 5) = -6(3 + -2k) + 2 (5 + 5k) = -6(3 + -2k) + 2 5 + 5k = (3 * -6 + -2k * -6) + 2 5 + 5k = (-18 + 12k) + 2 Reorder the terms: 5 + 5k = -18 + 2 + 12k Combine like terms: -18 + 2 = -16 5 + 5k = -16 + 12k Solving 5 + 5k = -16 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 5 + 5k + -12k = -16 + 12k + -12k Combine like terms: 5k + -12k = -7k 5 + -7k = -16 + 12k + -12k Combine like terms: 12k + -12k = 0 5 + -7k = -16 + 0 5 + -7k = -16 Add '-5' to each side of the equation. 5 + -5 + -7k = -16 + -5 Combine like terms: 5 + -5 = 0 0 + -7k = -16 + -5 -7k = -16 + -5 Combine like terms: -16 + -5 = -21 -7k = -21 Divide each side by '-7'. k = 3 Simplifying k = 3
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