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Simplifying 3(k + 5) = -293k + -6 Reorder the terms: 3(5 + k) = -293k + -6 (5 * 3 + k * 3) = -293k + -6 (15 + 3k) = -293k + -6 Reorder the terms: 15 + 3k = -6 + -293k Solving 15 + 3k = -6 + -293k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '293k' to each side of the equation. 15 + 3k + 293k = -6 + -293k + 293k Combine like terms: 3k + 293k = 296k 15 + 296k = -6 + -293k + 293k Combine like terms: -293k + 293k = 0 15 + 296k = -6 + 0 15 + 296k = -6 Add '-15' to each side of the equation. 15 + -15 + 296k = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 296k = -6 + -15 296k = -6 + -15 Combine like terms: -6 + -15 = -21 296k = -21 Divide each side by '296'. k = -0.07094594595 Simplifying k = -0.07094594595
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