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Simplifying -3(4k + 1) + 3(-2 + -2k) = 0 Reorder the terms: -3(1 + 4k) + 3(-2 + -2k) = 0 (1 * -3 + 4k * -3) + 3(-2 + -2k) = 0 (-3 + -12k) + 3(-2 + -2k) = 0 -3 + -12k + (-2 * 3 + -2k * 3) = 0 -3 + -12k + (-6 + -6k) = 0 Reorder the terms: -3 + -6 + -12k + -6k = 0 Combine like terms: -3 + -6 = -9 -9 + -12k + -6k = 0 Combine like terms: -12k + -6k = -18k -9 + -18k = 0 Solving -9 + -18k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -18k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -18k = 0 + 9 -18k = 0 + 9 Combine like terms: 0 + 9 = 9 -18k = 9 Divide each side by '-18'. k = -0.5 Simplifying k = -0.5
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