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Simplifying -5k + -39 = -7(7k + -7) Reorder the terms: -39 + -5k = -7(7k + -7) Reorder the terms: -39 + -5k = -7(-7 + 7k) -39 + -5k = (-7 * -7 + 7k * -7) -39 + -5k = (49 + -49k) Solving -39 + -5k = 49 + -49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '49k' to each side of the equation. -39 + -5k + 49k = 49 + -49k + 49k Combine like terms: -5k + 49k = 44k -39 + 44k = 49 + -49k + 49k Combine like terms: -49k + 49k = 0 -39 + 44k = 49 + 0 -39 + 44k = 49 Add '39' to each side of the equation. -39 + 39 + 44k = 49 + 39 Combine like terms: -39 + 39 = 0 0 + 44k = 49 + 39 44k = 49 + 39 Combine like terms: 49 + 39 = 88 44k = 88 Divide each side by '44'. k = 2 Simplifying k = 2
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