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Simplifying 2(4k + -5) = 7(11 + -3k) Reorder the terms: 2(-5 + 4k) = 7(11 + -3k) (-5 * 2 + 4k * 2) = 7(11 + -3k) (-10 + 8k) = 7(11 + -3k) -10 + 8k = (11 * 7 + -3k * 7) -10 + 8k = (77 + -21k) Solving -10 + 8k = 77 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. -10 + 8k + 21k = 77 + -21k + 21k Combine like terms: 8k + 21k = 29k -10 + 29k = 77 + -21k + 21k Combine like terms: -21k + 21k = 0 -10 + 29k = 77 + 0 -10 + 29k = 77 Add '10' to each side of the equation. -10 + 10 + 29k = 77 + 10 Combine like terms: -10 + 10 = 0 0 + 29k = 77 + 10 29k = 77 + 10 Combine like terms: 77 + 10 = 87 29k = 87 Divide each side by '29'. k = 3 Simplifying k = 3
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