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Simplifying 7(k + -9) = -45 + 9k Reorder the terms: 7(-9 + k) = -45 + 9k (-9 * 7 + k * 7) = -45 + 9k (-63 + 7k) = -45 + 9k Solving -63 + 7k = -45 + 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. -63 + 7k + -9k = -45 + 9k + -9k Combine like terms: 7k + -9k = -2k -63 + -2k = -45 + 9k + -9k Combine like terms: 9k + -9k = 0 -63 + -2k = -45 + 0 -63 + -2k = -45 Add '63' to each side of the equation. -63 + 63 + -2k = -45 + 63 Combine like terms: -63 + 63 = 0 0 + -2k = -45 + 63 -2k = -45 + 63 Combine like terms: -45 + 63 = 18 -2k = 18 Divide each side by '-2'. k = -9 Simplifying k = -9
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