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Simplifying 5(k + -9) + -1(4 + -9k) = 13k Reorder the terms: 5(-9 + k) + -1(4 + -9k) = 13k (-9 * 5 + k * 5) + -1(4 + -9k) = 13k (-45 + 5k) + -1(4 + -9k) = 13k -45 + 5k + (4 * -1 + -9k * -1) = 13k -45 + 5k + (-4 + 9k) = 13k Reorder the terms: -45 + -4 + 5k + 9k = 13k Combine like terms: -45 + -4 = -49 -49 + 5k + 9k = 13k Combine like terms: 5k + 9k = 14k -49 + 14k = 13k Solving -49 + 14k = 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. -49 + 14k + -13k = 13k + -13k Combine like terms: 14k + -13k = 1k -49 + 1k = 13k + -13k Combine like terms: 13k + -13k = 0 -49 + 1k = 0 Add '49' to each side of the equation. -49 + 49 + 1k = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 1k = 0 + 49 1k = 0 + 49 Combine like terms: 0 + 49 = 49 1k = 49 Divide each side by '1'. k = 49 Simplifying k = 49
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