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Simplifying -7(k + 9) = 9(k + -5) + -1k Reorder the terms: -7(9 + k) = 9(k + -5) + -1k (9 * -7 + k * -7) = 9(k + -5) + -1k (-63 + -7k) = 9(k + -5) + -1k Reorder the terms: -63 + -7k = 9(-5 + k) + -1k -63 + -7k = (-5 * 9 + k * 9) + -1k -63 + -7k = (-45 + 9k) + -1k Combine like terms: 9k + -1k = 8k -63 + -7k = -45 + 8k Solving -63 + -7k = -45 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -63 + -7k + -8k = -45 + 8k + -8k Combine like terms: -7k + -8k = -15k -63 + -15k = -45 + 8k + -8k Combine like terms: 8k + -8k = 0 -63 + -15k = -45 + 0 -63 + -15k = -45 Add '63' to each side of the equation. -63 + 63 + -15k = -45 + 63 Combine like terms: -63 + 63 = 0 0 + -15k = -45 + 63 -15k = -45 + 63 Combine like terms: -45 + 63 = 18 -15k = 18 Divide each side by '-15'. k = -1.2 Simplifying k = -1.2
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