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Simplifying 3(7k + -6) = -5k + 34 Reorder the terms: 3(-6 + 7k) = -5k + 34 (-6 * 3 + 7k * 3) = -5k + 34 (-18 + 21k) = -5k + 34 Reorder the terms: -18 + 21k = 34 + -5k Solving -18 + 21k = 34 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -18 + 21k + 5k = 34 + -5k + 5k Combine like terms: 21k + 5k = 26k -18 + 26k = 34 + -5k + 5k Combine like terms: -5k + 5k = 0 -18 + 26k = 34 + 0 -18 + 26k = 34 Add '18' to each side of the equation. -18 + 18 + 26k = 34 + 18 Combine like terms: -18 + 18 = 0 0 + 26k = 34 + 18 26k = 34 + 18 Combine like terms: 34 + 18 = 52 26k = 52 Divide each side by '26'. k = 2 Simplifying k = 2
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