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Simplifying -8(4k + 9) = 29 + -5k Reorder the terms: -8(9 + 4k) = 29 + -5k (9 * -8 + 4k * -8) = 29 + -5k (-72 + -32k) = 29 + -5k Solving -72 + -32k = 29 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -72 + -32k + 5k = 29 + -5k + 5k Combine like terms: -32k + 5k = -27k -72 + -27k = 29 + -5k + 5k Combine like terms: -5k + 5k = 0 -72 + -27k = 29 + 0 -72 + -27k = 29 Add '72' to each side of the equation. -72 + 72 + -27k = 29 + 72 Combine like terms: -72 + 72 = 0 0 + -27k = 29 + 72 -27k = 29 + 72 Combine like terms: 29 + 72 = 101 -27k = 101 Divide each side by '-27'. k = -3.740740741 Simplifying k = -3.740740741
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