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Simplifying 2k(14) + 7(2k) + -2 = 0 Reorder the terms for easier multiplication: 2 * 14k + 7(2k) + -2 = 0 Multiply 2 * 14 28k + 7(2k) + -2 = 0 Remove parenthesis around (2k) 28k + 7 * 2k + -2 = 0 Multiply 7 * 2 28k + 14k + -2 = 0 Reorder the terms: -2 + 28k + 14k = 0 Combine like terms: 28k + 14k = 42k -2 + 42k = 0 Solving -2 + 42k = 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 + 42k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 42k = 0 + 2 42k = 0 + 2 Combine like terms: 0 + 2 = 2 42k = 2 Divide each side by '42'. k = 0.04761904762 Simplifying k = 0.04761904762
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