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Simplifying 6k + -30 = -1(k + 2) + -7 Reorder the terms: -30 + 6k = -1(k + 2) + -7 Reorder the terms: -30 + 6k = -1(2 + k) + -7 -30 + 6k = (2 * -1 + k * -1) + -7 -30 + 6k = (-2 + -1k) + -7 Reorder the terms: -30 + 6k = -2 + -7 + -1k Combine like terms: -2 + -7 = -9 -30 + 6k = -9 + -1k Solving -30 + 6k = -9 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -30 + 6k + k = -9 + -1k + k Combine like terms: 6k + k = 7k -30 + 7k = -9 + -1k + k Combine like terms: -1k + k = 0 -30 + 7k = -9 + 0 -30 + 7k = -9 Add '30' to each side of the equation. -30 + 30 + 7k = -9 + 30 Combine like terms: -30 + 30 = 0 0 + 7k = -9 + 30 7k = -9 + 30 Combine like terms: -9 + 30 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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