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Simplifying -5(1 + 4k) = 33 (1 * -5 + 4k * -5) = 33 (-5 + -20k) = 33 Solving -5 + -20k = 33 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -20k = 33 + 5 Combine like terms: -5 + 5 = 0 0 + -20k = 33 + 5 -20k = 33 + 5 Combine like terms: 33 + 5 = 38 -20k = 38 Divide each side by '-20'. k = -1.9 Simplifying k = -1.9
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