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Simplifying -5(7 + 9k) = 29 (7 * -5 + 9k * -5) = 29 (-35 + -45k) = 29 Solving -35 + -45k = 29 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -45k = 29 + 35 Combine like terms: -35 + 35 = 0 0 + -45k = 29 + 35 -45k = 29 + 35 Combine like terms: 29 + 35 = 64 -45k = 64 Divide each side by '-45'. k = -1.422222222 Simplifying k = -1.422222222
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