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Simplifying (-12k + 8) + -1(2k + -8) = 0 Reorder the terms: (8 + -12k) + -1(2k + -8) = 0 Remove parenthesis around (8 + -12k) 8 + -12k + -1(2k + -8) = 0 Reorder the terms: 8 + -12k + -1(-8 + 2k) = 0 8 + -12k + (-8 * -1 + 2k * -1) = 0 8 + -12k + (8 + -2k) = 0 Reorder the terms: 8 + 8 + -12k + -2k = 0 Combine like terms: 8 + 8 = 16 16 + -12k + -2k = 0 Combine like terms: -12k + -2k = -14k 16 + -14k = 0 Solving 16 + -14k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -14k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -14k = 0 + -16 -14k = 0 + -16 Combine like terms: 0 + -16 = -16 -14k = -16 Divide each side by '-14'. k = 1.142857143 Simplifying k = 1.142857143
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