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Simplifying 3(2k + 2) * 4 + -14 = 0 Reorder the terms: 3(2 + 2k) * 4 + -14 = 0 Reorder the terms for easier multiplication: 3 * 4(2 + 2k) + -14 = 0 Multiply 3 * 4 12(2 + 2k) + -14 = 0 (2 * 12 + 2k * 12) + -14 = 0 (24 + 24k) + -14 = 0 Reorder the terms: 24 + -14 + 24k = 0 Combine like terms: 24 + -14 = 10 10 + 24k = 0 Solving 10 + 24k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 24k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 24k = 0 + -10 24k = 0 + -10 Combine like terms: 0 + -10 = -10 24k = -10 Divide each side by '24'. k = -0.4166666667 Simplifying k = -0.4166666667
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