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Simplifying 6(-4k + 3) = -3k + 18 Reorder the terms: 6(3 + -4k) = -3k + 18 (3 * 6 + -4k * 6) = -3k + 18 (18 + -24k) = -3k + 18 Reorder the terms: 18 + -24k = 18 + -3k Add '-18' to each side of the equation. 18 + -18 + -24k = 18 + -18 + -3k Combine like terms: 18 + -18 = 0 0 + -24k = 18 + -18 + -3k -24k = 18 + -18 + -3k Combine like terms: 18 + -18 = 0 -24k = 0 + -3k -24k = -3k Solving -24k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -24k + 3k = -3k + 3k Combine like terms: -24k + 3k = -21k -21k = -3k + 3k Combine like terms: -3k + 3k = 0 -21k = 0 Divide each side by '-21'. k = 0 Simplifying k = 0
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