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Simplifying -45 + -9k = 9(3 + 7k) -45 + -9k = (3 * 9 + 7k * 9) -45 + -9k = (27 + 63k) Solving -45 + -9k = 27 + 63k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-63k' to each side of the equation. -45 + -9k + -63k = 27 + 63k + -63k Combine like terms: -9k + -63k = -72k -45 + -72k = 27 + 63k + -63k Combine like terms: 63k + -63k = 0 -45 + -72k = 27 + 0 -45 + -72k = 27 Add '45' to each side of the equation. -45 + 45 + -72k = 27 + 45 Combine like terms: -45 + 45 = 0 0 + -72k = 27 + 45 -72k = 27 + 45 Combine like terms: 27 + 45 = 72 -72k = 72 Divide each side by '-72'. k = -1 Simplifying k = -1
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