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Simplifying k + -9 * 4 = 9k + 44 Multiply -9 * 4 k + -36 = 9k + 44 Reorder the terms: -36 + k = 9k + 44 Reorder the terms: -36 + k = 44 + 9k Solving -36 + k = 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 + k + -9k = 44 + 9k + -9k Combine like terms: k + -9k = -8k -36 + -8k = 44 + 9k + -9k Combine like terms: 9k + -9k = 0 -36 + -8k = 44 + 0 -36 + -8k = 44 Add '36' to each side of the equation. -36 + 36 + -8k = 44 + 36 Combine like terms: -36 + 36 = 0 0 + -8k = 44 + 36 -8k = 44 + 36 Combine like terms: 44 + 36 = 80 -8k = 80 Divide each side by '-8'. k = -10 Simplifying k = -10
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