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Simplifying -9 + 5(1 + 4k) = -29 -9 + (1 * 5 + 4k * 5) = -29 -9 + (5 + 20k) = -29 Combine like terms: -9 + 5 = -4 -4 + 20k = -29 Solving -4 + 20k = -29 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 20k = -29 + 4 Combine like terms: -4 + 4 = 0 0 + 20k = -29 + 4 20k = -29 + 4 Combine like terms: -29 + 4 = -25 20k = -25 Divide each side by '20'. k = -1.25 Simplifying k = -1.25
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