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Simplifying -3(1 + -6k) = 3 + 6(1 + 4k) (1 * -3 + -6k * -3) = 3 + 6(1 + 4k) (-3 + 18k) = 3 + 6(1 + 4k) -3 + 18k = 3 + (1 * 6 + 4k * 6) -3 + 18k = 3 + (6 + 24k) Combine like terms: 3 + 6 = 9 -3 + 18k = 9 + 24k Solving -3 + 18k = 9 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. -3 + 18k + -24k = 9 + 24k + -24k Combine like terms: 18k + -24k = -6k -3 + -6k = 9 + 24k + -24k Combine like terms: 24k + -24k = 0 -3 + -6k = 9 + 0 -3 + -6k = 9 Add '3' to each side of the equation. -3 + 3 + -6k = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -6k = 9 + 3 -6k = 9 + 3 Combine like terms: 9 + 3 = 12 -6k = 12 Divide each side by '-6'. k = -2 Simplifying k = -2
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