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Simplifying -7k + -33 = -3k + -7(k + 3) Reorder the terms: -33 + -7k = -3k + -7(k + 3) Reorder the terms: -33 + -7k = -3k + -7(3 + k) -33 + -7k = -3k + (3 * -7 + k * -7) -33 + -7k = -3k + (-21 + -7k) Reorder the terms: -33 + -7k = -21 + -3k + -7k Combine like terms: -3k + -7k = -10k -33 + -7k = -21 + -10k Solving -33 + -7k = -21 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -33 + -7k + 10k = -21 + -10k + 10k Combine like terms: -7k + 10k = 3k -33 + 3k = -21 + -10k + 10k Combine like terms: -10k + 10k = 0 -33 + 3k = -21 + 0 -33 + 3k = -21 Add '33' to each side of the equation. -33 + 33 + 3k = -21 + 33 Combine like terms: -33 + 33 = 0 0 + 3k = -21 + 33 3k = -21 + 33 Combine like terms: -21 + 33 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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