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Simplifying 7k + 3 + -4k = 3 + -3(k + 4) Reorder the terms: 3 + 7k + -4k = 3 + -3(k + 4) Combine like terms: 7k + -4k = 3k 3 + 3k = 3 + -3(k + 4) Reorder the terms: 3 + 3k = 3 + -3(4 + k) 3 + 3k = 3 + (4 * -3 + k * -3) 3 + 3k = 3 + (-12 + -3k) Combine like terms: 3 + -12 = -9 3 + 3k = -9 + -3k Solving 3 + 3k = -9 + -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. 3 + 3k + 3k = -9 + -3k + 3k Combine like terms: 3k + 3k = 6k 3 + 6k = -9 + -3k + 3k Combine like terms: -3k + 3k = 0 3 + 6k = -9 + 0 3 + 6k = -9 Add '-3' to each side of the equation. 3 + -3 + 6k = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 6k = -9 + -3 6k = -9 + -3 Combine like terms: -9 + -3 = -12 6k = -12 Divide each side by '6'. k = -2 Simplifying k = -2
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