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Simplifying 5(9k + -10) + 8(3 + -4k) = 0 Reorder the terms: 5(-10 + 9k) + 8(3 + -4k) = 0 (-10 * 5 + 9k * 5) + 8(3 + -4k) = 0 (-50 + 45k) + 8(3 + -4k) = 0 -50 + 45k + (3 * 8 + -4k * 8) = 0 -50 + 45k + (24 + -32k) = 0 Reorder the terms: -50 + 24 + 45k + -32k = 0 Combine like terms: -50 + 24 = -26 -26 + 45k + -32k = 0 Combine like terms: 45k + -32k = 13k -26 + 13k = 0 Solving -26 + 13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 13k = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 13k = 0 + 26 13k = 0 + 26 Combine like terms: 0 + 26 = 26 13k = 26 Divide each side by '13'. k = 2 Simplifying k = 2
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