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Simplifying 4k + -9 = -3(k + 7) Reorder the terms: -9 + 4k = -3(k + 7) Reorder the terms: -9 + 4k = -3(7 + k) -9 + 4k = (7 * -3 + k * -3) -9 + 4k = (-21 + -3k) Solving -9 + 4k = -21 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -9 + 4k + 3k = -21 + -3k + 3k Combine like terms: 4k + 3k = 7k -9 + 7k = -21 + -3k + 3k Combine like terms: -3k + 3k = 0 -9 + 7k = -21 + 0 -9 + 7k = -21 Add '9' to each side of the equation. -9 + 9 + 7k = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 7k = -21 + 9 7k = -21 + 9 Combine like terms: -21 + 9 = -12 7k = -12 Divide each side by '7'. k = -1.714285714 Simplifying k = -1.714285714
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