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