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Simplifying 5(7k + -1) = 11(4k + -7) Reorder the terms: 5(-1 + 7k) = 11(4k + -7) (-1 * 5 + 7k * 5) = 11(4k + -7) (-5 + 35k) = 11(4k + -7) Reorder the terms: -5 + 35k = 11(-7 + 4k) -5 + 35k = (-7 * 11 + 4k * 11) -5 + 35k = (-77 + 44k) Solving -5 + 35k = -77 + 44k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-44k' to each side of the equation. -5 + 35k + -44k = -77 + 44k + -44k Combine like terms: 35k + -44k = -9k -5 + -9k = -77 + 44k + -44k Combine like terms: 44k + -44k = 0 -5 + -9k = -77 + 0 -5 + -9k = -77 Add '5' to each side of the equation. -5 + 5 + -9k = -77 + 5 Combine like terms: -5 + 5 = 0 0 + -9k = -77 + 5 -9k = -77 + 5 Combine like terms: -77 + 5 = -72 -9k = -72 Divide each side by '-9'. k = 8 Simplifying k = 8
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