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Simplifying (k + -7) * 4 = 9k + 44 Reorder the terms: (-7 + k) * 4 = 9k + 44 Reorder the terms for easier multiplication: 4(-7 + k) = 9k + 44 (-7 * 4 + k * 4) = 9k + 44 (-28 + 4k) = 9k + 44 Reorder the terms: -28 + 4k = 44 + 9k Solving -28 + 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. -28 + 4k + -9k = 44 + 9k + -9k Combine like terms: 4k + -9k = -5k -28 + -5k = 44 + 9k + -9k Combine like terms: 9k + -9k = 0 -28 + -5k = 44 + 0 -28 + -5k = 44 Add '28' to each side of the equation. -28 + 28 + -5k = 44 + 28 Combine like terms: -28 + 28 = 0 0 + -5k = 44 + 28 -5k = 44 + 28 Combine like terms: 44 + 28 = 72 -5k = 72 Divide each side by '-5'. k = -14.4 Simplifying k = -14.4
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