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Simplifying 30 + -7k = -8[3(k + -3) + -3] Reorder the terms: 30 + -7k = -8[3(-3 + k) + -3] 30 + -7k = -8[(-3 * 3 + k * 3) + -3] 30 + -7k = -8[(-9 + 3k) + -3] Reorder the terms: 30 + -7k = -8[-9 + -3 + 3k] Combine like terms: -9 + -3 = -12 30 + -7k = -8[-12 + 3k] 30 + -7k = [-12 * -8 + 3k * -8] 30 + -7k = [96 + -24k] Solving 30 + -7k = 96 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 30 + -7k + 24k = 96 + -24k + 24k Combine like terms: -7k + 24k = 17k 30 + 17k = 96 + -24k + 24k Combine like terms: -24k + 24k = 0 30 + 17k = 96 + 0 30 + 17k = 96 Add '-30' to each side of the equation. 30 + -30 + 17k = 96 + -30 Combine like terms: 30 + -30 = 0 0 + 17k = 96 + -30 17k = 96 + -30 Combine like terms: 96 + -30 = 66 17k = 66 Divide each side by '17'. k = 3.882352941 Simplifying k = 3.882352941
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