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Simplifying 4(-3k + -1) = 2k + -4 Reorder the terms: 4(-1 + -3k) = 2k + -4 (-1 * 4 + -3k * 4) = 2k + -4 (-4 + -12k) = 2k + -4 Reorder the terms: -4 + -12k = -4 + 2k Add '4' to each side of the equation. -4 + 4 + -12k = -4 + 4 + 2k Combine like terms: -4 + 4 = 0 0 + -12k = -4 + 4 + 2k -12k = -4 + 4 + 2k Combine like terms: -4 + 4 = 0 -12k = 0 + 2k -12k = 2k Solving -12k = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -12k + -2k = 2k + -2k Combine like terms: -12k + -2k = -14k -14k = 2k + -2k Combine like terms: 2k + -2k = 0 -14k = 0 Divide each side by '-14'. k = 0 Simplifying k = 0
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