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Simplifying -5 + 3(1 + 7k) = 29 -5 + (1 * 3 + 7k * 3) = 29 -5 + (3 + 21k) = 29 Combine like terms: -5 + 3 = -2 -2 + 21k = 29 Solving -2 + 21k = 29 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 21k = 29 + 2 Combine like terms: -2 + 2 = 0 0 + 21k = 29 + 2 21k = 29 + 2 Combine like terms: 29 + 2 = 31 21k = 31 Divide each side by '21'. k = 1.476190476 Simplifying k = 1.476190476
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