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Simplifying 3(4 + 2k) + 7x = 0 (4 * 3 + 2k * 3) + 7x = 0 (12 + 6k) + 7x = 0 Solving 12 + 6k + 7x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 6k + -12 + 7x = 0 + -12 Reorder the terms: 12 + -12 + 6k + 7x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6k + 7x = 0 + -12 6k + 7x = 0 + -12 Combine like terms: 0 + -12 = -12 6k + 7x = -12 Add '-7x' to each side of the equation. 6k + 7x + -7x = -12 + -7x Combine like terms: 7x + -7x = 0 6k + 0 = -12 + -7x 6k = -12 + -7x Divide each side by '6'. k = -2 + -1.166666667x Simplifying k = -2 + -1.166666667x
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