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Simplifying (k + -9) * 4 = 9k + 44 Reorder the terms: (-9 + k) * 4 = 9k + 44 Reorder the terms for easier multiplication: 4(-9 + k) = 9k + 44 (-9 * 4 + k * 4) = 9k + 44 (-36 + 4k) = 9k + 44 Reorder the terms: -36 + 4k = 44 + 9k Solving -36 + 4k = 44 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -36 + 4k + -9k = 44 + 9k + -9k Combine like terms: 4k + -9k = -5k -36 + -5k = 44 + 9k + -9k Combine like terms: 9k + -9k = 0 -36 + -5k = 44 + 0 -36 + -5k = 44 Add '36' to each side of the equation. -36 + 36 + -5k = 44 + 36 Combine like terms: -36 + 36 = 0 0 + -5k = 44 + 36 -5k = 44 + 36 Combine like terms: 44 + 36 = 80 -5k = 80 Divide each side by '-5'. k = -16 Simplifying k = -16
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