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Simplifying 30k(-2) + -23k(-1) + 2 = 0 Reorder the terms for easier multiplication: 30 * -2k + -23k(-1) + 2 = 0 Multiply 30 * -2 -60k + -23k(-1) + 2 = 0 Reorder the terms for easier multiplication: -60k + -23 * -1k + 2 = 0 Multiply -23 * -1 -60k + 23k + 2 = 0 Reorder the terms: 2 + -60k + 23k = 0 Combine like terms: -60k + 23k = -37k 2 + -37k = 0 Solving 2 + -37k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -37k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -37k = 0 + -2 -37k = 0 + -2 Combine like terms: 0 + -2 = -2 -37k = -2 Divide each side by '-37'. k = 0.05405405405 Simplifying k = 0.05405405405
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