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