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Simplifying 3(4 + 2k) + -19 = 0 (4 * 3 + 2k * 3) + -19 = 0 (12 + 6k) + -19 = 0 Reorder the terms: 12 + -19 + 6k = 0 Combine like terms: 12 + -19 = -7 -7 + 6k = 0 Solving -7 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6k = 0 + 7 6k = 0 + 7 Combine like terms: 0 + 7 = 7 6k = 7 Divide each side by '6'. k = 1.166666667 Simplifying k = 1.166666667
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