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Simplifying 6(5k + -3) = 8k + 4 Reorder the terms: 6(-3 + 5k) = 8k + 4 (-3 * 6 + 5k * 6) = 8k + 4 (-18 + 30k) = 8k + 4 Reorder the terms: -18 + 30k = 4 + 8k Solving -18 + 30k = 4 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -18 + 30k + -8k = 4 + 8k + -8k Combine like terms: 30k + -8k = 22k -18 + 22k = 4 + 8k + -8k Combine like terms: 8k + -8k = 0 -18 + 22k = 4 + 0 -18 + 22k = 4 Add '18' to each side of the equation. -18 + 18 + 22k = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 22k = 4 + 18 22k = 4 + 18 Combine like terms: 4 + 18 = 22 22k = 22 Divide each side by '22'. k = 1 Simplifying k = 1
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