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Simplifying 8(3k + 1) + 2(k + 1) = 0 Reorder the terms: 8(1 + 3k) + 2(k + 1) = 0 (1 * 8 + 3k * 8) + 2(k + 1) = 0 (8 + 24k) + 2(k + 1) = 0 Reorder the terms: 8 + 24k + 2(1 + k) = 0 8 + 24k + (1 * 2 + k * 2) = 0 8 + 24k + (2 + 2k) = 0 Reorder the terms: 8 + 2 + 24k + 2k = 0 Combine like terms: 8 + 2 = 10 10 + 24k + 2k = 0 Combine like terms: 24k + 2k = 26k 10 + 26k = 0 Solving 10 + 26k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 26k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 26k = 0 + -10 26k = 0 + -10 Combine like terms: 0 + -10 = -10 26k = -10 Divide each side by '26'. k = -0.3846153846 Simplifying k = -0.3846153846
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