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Simplifying 3k + -6(8k + 1) = 0 Reorder the terms: 3k + -6(1 + 8k) = 0 3k + (1 * -6 + 8k * -6) = 0 3k + (-6 + -48k) = 0 Reorder the terms: -6 + 3k + -48k = 0 Combine like terms: 3k + -48k = -45k -6 + -45k = 0 Solving -6 + -45k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -45k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -45k = 0 + 6 -45k = 0 + 6 Combine like terms: 0 + 6 = 6 -45k = 6 Divide each side by '-45'. k = -0.1333333333 Simplifying k = -0.1333333333
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