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Simplifying -3(4 + -3k) = 3(3 + -4k) (4 * -3 + -3k * -3) = 3(3 + -4k) (-12 + 9k) = 3(3 + -4k) -12 + 9k = (3 * 3 + -4k * 3) -12 + 9k = (9 + -12k) Solving -12 + 9k = 9 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -12 + 9k + 12k = 9 + -12k + 12k Combine like terms: 9k + 12k = 21k -12 + 21k = 9 + -12k + 12k Combine like terms: -12k + 12k = 0 -12 + 21k = 9 + 0 -12 + 21k = 9 Add '12' to each side of the equation. -12 + 12 + 21k = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 21k = 9 + 12 21k = 9 + 12 Combine like terms: 9 + 12 = 21 21k = 21 Divide each side by '21'. k = 1 Simplifying k = 1
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