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Simplifying (2 + -1k) + -3(4k + 2) = 0 Remove parenthesis around (2 + -1k) 2 + -1k + -3(4k + 2) = 0 Reorder the terms: 2 + -1k + -3(2 + 4k) = 0 2 + -1k + (2 * -3 + 4k * -3) = 0 2 + -1k + (-6 + -12k) = 0 Reorder the terms: 2 + -6 + -1k + -12k = 0 Combine like terms: 2 + -6 = -4 -4 + -1k + -12k = 0 Combine like terms: -1k + -12k = -13k -4 + -13k = 0 Solving -4 + -13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -13k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -13k = 0 + 4 -13k = 0 + 4 Combine like terms: 0 + 4 = 4 -13k = 4 Divide each side by '-13'. k = -0.3076923077 Simplifying k = -0.3076923077
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