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Simplifying 19k + -3(2k + 8) + 9 = 0 Reorder the terms: 19k + -3(8 + 2k) + 9 = 0 19k + (8 * -3 + 2k * -3) + 9 = 0 19k + (-24 + -6k) + 9 = 0 Reorder the terms: -24 + 9 + 19k + -6k = 0 Combine like terms: -24 + 9 = -15 -15 + 19k + -6k = 0 Combine like terms: 19k + -6k = 13k -15 + 13k = 0 Solving -15 + 13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 13k = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 13k = 0 + 15 13k = 0 + 15 Combine like terms: 0 + 15 = 15 13k = 15 Divide each side by '13'. k = 1.153846154 Simplifying k = 1.153846154
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