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Simplifying -7(k + 9) = 9(k + -5) * 1 Reorder the terms: -7(9 + k) = 9(k + -5) * 1 (9 * -7 + k * -7) = 9(k + -5) * 1 (-63 + -7k) = 9(k + -5) * 1 Reorder the terms: -63 + -7k = 9(-5 + k) * 1 Reorder the terms for easier multiplication: -63 + -7k = 9 * 1(-5 + k) Multiply 9 * 1 -63 + -7k = 9(-5 + k) -63 + -7k = (-5 * 9 + k * 9) -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 = -16k -63 + -16k = -45 + 9k + -9k Combine like terms: 9k + -9k = 0 -63 + -16k = -45 + 0 -63 + -16k = -45 Add '63' to each side of the equation. -63 + 63 + -16k = -45 + 63 Combine like terms: -63 + 63 = 0 0 + -16k = -45 + 63 -16k = -45 + 63 Combine like terms: -45 + 63 = 18 -16k = 18 Divide each side by '-16'. k = -1.125 Simplifying k = -1.125
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